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Finding the Fourth Proportional to 10,702.13, 16,053.17 and 3,306.56

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Solution

The fourth proportional to 10,702.13, 16,053.17 and 3,306.56 is: 4,959.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,702.13 : 16,053.17 = 3,306.56 : x
  2. Step 2: Convert to fraction form
    10,702.13/16,053.17 = 3,306.56/x
  3. Step 3: Cross multiply
    10,702.13x = 16,053.17 × 3,306.56
  4. Step 4: Simplify right side
    10,702.13x = 53,080,673.00
  5. Step 5: Solve for x
    x = 53,080,673.00/10,702.13
  6. Step 6: Final answer
    x = 4,959.83

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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.