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Finding the Fourth Proportional to 7,639.92, 10,542.96 and 6,457.32

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Solution

The fourth proportional to 7,639.92, 10,542.96 and 6,457.32 is: 8,910.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,639.92 : 10,542.96 = 6,457.32 : x
  2. Step 2: Convert to fraction form
    7,639.92/10,542.96 = 6,457.32/x
  3. Step 3: Cross multiply
    7,639.92x = 10,542.96 × 6,457.32
  4. Step 4: Simplify right side
    7,639.92x = 68,079,266.47
  5. Step 5: Solve for x
    x = 68,079,266.47/7,639.92
  6. Step 6: Final answer
    x = 8,910.99

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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.