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Finding the Fourth Proportional to 10,167.46, 14,031.03 and 5,691.19

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Solution

The fourth proportional to 10,167.46, 14,031.03 and 5,691.19 is: 7,853.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,167.46 : 14,031.03 = 5,691.19 : x
  2. Step 2: Convert to fraction form
    10,167.46/14,031.03 = 5,691.19/x
  3. Step 3: Cross multiply
    10,167.46x = 14,031.03 × 5,691.19
  4. Step 4: Simplify right side
    10,167.46x = 79,853,257.63
  5. Step 5: Solve for x
    x = 79,853,257.63/10,167.46
  6. Step 6: Final answer
    x = 7,853.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.