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Finding the Fourth Proportional to 10,717.59, 16,080.54 and 4,475.97

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Solution

The fourth proportional to 10,717.59, 16,080.54 and 4,475.97 is: 6,715.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,717.59 : 16,080.54 = 4,475.97 : x
  2. Step 2: Convert to fraction form
    10,717.59/16,080.54 = 4,475.97/x
  3. Step 3: Cross multiply
    10,717.59x = 16,080.54 × 4,475.97
  4. Step 4: Simplify right side
    10,717.59x = 71,976,014.62
  5. Step 5: Solve for x
    x = 71,976,014.62/10,717.59
  6. Step 6: Final answer
    x = 6,715.69

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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.