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Finding the Fourth Proportional to 7,981.92, 11,913.10 and 7,457.04

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Solution

The fourth proportional to 7,981.92, 11,913.10 and 7,457.04 is: 11,129.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,981.92 : 11,913.10 = 7,457.04 : x
  2. Step 2: Convert to fraction form
    7,981.92/11,913.10 = 7,457.04/x
  3. Step 3: Cross multiply
    7,981.92x = 11,913.10 × 7,457.04
  4. Step 4: Simplify right side
    7,981.92x = 88,836,444.58
  5. Step 5: Solve for x
    x = 88,836,444.58/7,981.92
  6. Step 6: Final answer
    x = 11,129.71

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.