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Finding the Fourth Proportional to 7,787,068.22, 11,657,599.94 and 5,751,797.42

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Solution

The fourth proportional to 7,787,068.22, 11,657,599.94 and 5,751,797.42 is: 8,610,705.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,787,068.22 : 11,657,599.94 = 5,751,797.42 : x
  2. Step 2: Convert to fraction form
    7,787,068.22/11,657,599.94 = 5,751,797.42/x
  3. Step 3: Cross multiply
    7,787,068.22x = 11,657,599.94 × 5,751,797.42
  4. Step 4: Simplify right side
    7,787,068.22x = 67,052,153,258,284.15
  5. Step 5: Solve for x
    x = 67,052,153,258,284.15/7,787,068.22
  6. Step 6: Final answer
    x = 8,610,705.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.