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Finding the Fourth Proportional to 10,732.02, 14,810.23 and 6,016

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Solution

The fourth proportional to 10,732.02, 14,810.23 and 6,016 is: 8,302.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,732.02 : 14,810.23 = 6,016 : x
  2. Step 2: Convert to fraction form
    10,732.02/14,810.23 = 6,016/x
  3. Step 3: Cross multiply
    10,732.02x = 14,810.23 × 6,016
  4. Step 4: Simplify right side
    10,732.02x = 89,098,343.68
  5. Step 5: Solve for x
    x = 89,098,343.68/10,732.02
  6. Step 6: Final answer
    x = 8,302.10

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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.