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Finding the Fourth Proportional to 10,842.50, 16,265.38 and 3,918.62

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Solution

The fourth proportional to 10,842.50, 16,265.38 and 3,918.62 is: 5,878.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,842.50 : 16,265.38 = 3,918.62 : x
  2. Step 2: Convert to fraction form
    10,842.50/16,265.38 = 3,918.62/x
  3. Step 3: Cross multiply
    10,842.50x = 16,265.38 × 3,918.62
  4. Step 4: Simplify right side
    10,842.50x = 63,737,843.38
  5. Step 5: Solve for x
    x = 63,737,843.38/10,842.50
  6. Step 6: Final answer
    x = 5,878.52

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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.