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Finding the Fourth Proportional to 10,167.30, 14,030.19 and 5,691.42

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Solution

The fourth proportional to 10,167.30, 14,030.19 and 5,691.42 is: 7,853.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,167.30 : 14,030.19 = 5,691.42 : x
  2. Step 2: Convert to fraction form
    10,167.30/14,030.19 = 5,691.42/x
  3. Step 3: Cross multiply
    10,167.30x = 14,030.19 × 5,691.42
  4. Step 4: Simplify right side
    10,167.30x = 79,851,703.97
  5. Step 5: Solve for x
    x = 79,851,703.97/10,167.30
  6. Step 6: Final answer
    x = 7,853.78

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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.