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Finding the Fourth Proportional to 10,715.59, 16,074.91 and 3,693.71

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Solution

The fourth proportional to 10,715.59, 16,074.91 and 3,693.71 is: 5,541.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,715.59 : 16,074.91 = 3,693.71 : x
  2. Step 2: Convert to fraction form
    10,715.59/16,074.91 = 3,693.71/x
  3. Step 3: Cross multiply
    10,715.59x = 16,074.91 × 3,693.71
  4. Step 4: Simplify right side
    10,715.59x = 59,376,100.62
  5. Step 5: Solve for x
    x = 59,376,100.62/10,715.59
  6. Step 6: Final answer
    x = 5,541.09

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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.