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Finding the Fourth Proportional to 10,702.92, 16,053.32 and 3,306.60

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Solution

The fourth proportional to 10,702.92, 16,053.32 and 3,306.60 is: 4,959.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,702.92 : 16,053.32 = 3,306.60 : x
  2. Step 2: Convert to fraction form
    10,702.92/16,053.32 = 3,306.60/x
  3. Step 3: Cross multiply
    10,702.92x = 16,053.32 × 3,306.60
  4. Step 4: Simplify right side
    10,702.92x = 53,081,891.38
  5. Step 5: Solve for x
    x = 53,081,891.38/10,702.92
  6. Step 6: Final answer
    x = 4,959.57

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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.