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Finding the Fourth Proportional to 10,869.90, 16,304.87 and 3,078.78

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Solution

The fourth proportional to 10,869.90, 16,304.87 and 3,078.78 is: 4,618.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,869.90 : 16,304.87 = 3,078.78 : x
  2. Step 2: Convert to fraction form
    10,869.90/16,304.87 = 3,078.78/x
  3. Step 3: Cross multiply
    10,869.90x = 16,304.87 × 3,078.78
  4. Step 4: Simplify right side
    10,869.90x = 50,199,092.26
  5. Step 5: Solve for x
    x = 50,199,092.26/10,869.90
  6. Step 6: Final answer
    x = 4,618.17

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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.