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Finding the Fourth Proportional to 10,265.49, 14,169.92 and 6,017.91

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Solution

The fourth proportional to 10,265.49, 14,169.92 and 6,017.91 is: 8,306.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,265.49 : 14,169.92 = 6,017.91 : x
  2. Step 2: Convert to fraction form
    10,265.49/14,169.92 = 6,017.91/x
  3. Step 3: Cross multiply
    10,265.49x = 14,169.92 × 6,017.91
  4. Step 4: Simplify right side
    10,265.49x = 85,273,273.18
  5. Step 5: Solve for x
    x = 85,273,273.18/10,265.49
  6. Step 6: Final answer
    x = 8,306.79

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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.