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Finding the Fourth Proportional to 7,640.16, 10,543.68 and 7,290.24

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Solution

The fourth proportional to 7,640.16, 10,543.68 and 7,290.24 is: 10,060.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,640.16 : 10,543.68 = 7,290.24 : x
  2. Step 2: Convert to fraction form
    7,640.16/10,543.68 = 7,290.24/x
  3. Step 3: Cross multiply
    7,640.16x = 10,543.68 × 7,290.24
  4. Step 4: Simplify right side
    7,640.16x = 76,865,957.68
  5. Step 5: Solve for x
    x = 76,865,957.68/7,640.16
  6. Step 6: Final answer
    x = 10,060.78

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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.