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Finding the Fourth Proportional to 10,732.52, 14,810.92 and 6,016.50

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Solution

The fourth proportional to 10,732.52, 14,810.92 and 6,016.50 is: 8,302.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,732.52 : 14,810.92 = 6,016.50 : x
  2. Step 2: Convert to fraction form
    10,732.52/14,810.92 = 6,016.50/x
  3. Step 3: Cross multiply
    10,732.52x = 14,810.92 × 6,016.50
  4. Step 4: Simplify right side
    10,732.52x = 89,109,885.14
  5. Step 5: Solve for x
    x = 89,109,885.14/10,732.52
  6. Step 6: Final answer
    x = 8,302.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.