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Finding the Fourth Proportional to 7,578.36, 10,459.22 and 4,221.50

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Solution

The fourth proportional to 7,578.36, 10,459.22 and 4,221.50 is: 5,826.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,578.36 : 10,459.22 = 4,221.50 : x
  2. Step 2: Convert to fraction form
    7,578.36/10,459.22 = 4,221.50/x
  3. Step 3: Cross multiply
    7,578.36x = 10,459.22 × 4,221.50
  4. Step 4: Simplify right side
    7,578.36x = 44,153,523.83
  5. Step 5: Solve for x
    x = 44,153,523.83/7,578.36
  6. Step 6: Final answer
    x = 5,826.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.