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Finding the Fourth Proportional to 11,657.59, 17,493.68 and 4,732.09

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Solution

The fourth proportional to 11,657.59, 17,493.68 and 4,732.09 is: 7,101.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,657.59 : 17,493.68 = 4,732.09 : x
  2. Step 2: Convert to fraction form
    11,657.59/17,493.68 = 4,732.09/x
  3. Step 3: Cross multiply
    11,657.59x = 17,493.68 × 4,732.09
  4. Step 4: Simplify right side
    11,657.59x = 82,781,668.19
  5. Step 5: Solve for x
    x = 82,781,668.19/11,657.59
  6. Step 6: Final answer
    x = 7,101.10

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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.