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Finding the Fourth Proportional to 7,411.20, 11,114.88 and 6,428.16

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Solution

The fourth proportional to 7,411.20, 11,114.88 and 6,428.16 is: 9,640.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,411.20 : 11,114.88 = 6,428.16 : x
  2. Step 2: Convert to fraction form
    7,411.20/11,114.88 = 6,428.16/x
  3. Step 3: Cross multiply
    7,411.20x = 11,114.88 × 6,428.16
  4. Step 4: Simplify right side
    7,411.20x = 71,448,227.02
  5. Step 5: Solve for x
    x = 71,448,227.02/7,411.20
  6. Step 6: Final answer
    x = 9,640.57

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