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Finding the Fourth Proportional to 11,732.92, 17,597.46 and 3,523

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Solution

The fourth proportional to 11,732.92, 17,597.46 and 3,523 is: 5,283.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,732.92 : 17,597.46 = 3,523 : x
  2. Step 2: Convert to fraction form
    11,732.92/17,597.46 = 3,523/x
  3. Step 3: Cross multiply
    11,732.92x = 17,597.46 × 3,523
  4. Step 4: Simplify right side
    11,732.92x = 61,995,851.58
  5. Step 5: Solve for x
    x = 61,995,851.58/11,732.92
  6. Step 6: Final answer
    x = 5,283.92

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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.