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Finding the Fourth Proportional to 7,914.87, 11,872.28 and 2,368.22

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Solution

The fourth proportional to 7,914.87, 11,872.28 and 2,368.22 is: 3,552.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,914.87 : 11,872.28 = 2,368.22 : x
  2. Step 2: Convert to fraction form
    7,914.87/11,872.28 = 2,368.22/x
  3. Step 3: Cross multiply
    7,914.87x = 11,872.28 × 2,368.22
  4. Step 4: Simplify right side
    7,914.87x = 28,116,117.50
  5. Step 5: Solve for x
    x = 28,116,117.50/7,914.87
  6. Step 6: Final answer
    x = 3,552.32

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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.