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Finding the Fourth Proportional to 10,869.42, 16,304.13 and 3,077.22

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Solution

The fourth proportional to 10,869.42, 16,304.13 and 3,077.22 is: 4,615.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,869.42 : 16,304.13 = 3,077.22 : x
  2. Step 2: Convert to fraction form
    10,869.42/16,304.13 = 3,077.22/x
  3. Step 3: Cross multiply
    10,869.42x = 16,304.13 × 3,077.22
  4. Step 4: Simplify right side
    10,869.42x = 50,171,394.92
  5. Step 5: Solve for x
    x = 50,171,394.92/10,869.42
  6. Step 6: Final answer
    x = 4,615.83

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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.