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Finding the Fourth Proportional to 10,031.29, 13,841.03 and 6,052.35

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Solution

The fourth proportional to 10,031.29, 13,841.03 and 6,052.35 is: 8,350.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,031.29 : 13,841.03 = 6,052.35 : x
  2. Step 2: Convert to fraction form
    10,031.29/13,841.03 = 6,052.35/x
  3. Step 3: Cross multiply
    10,031.29x = 13,841.03 × 6,052.35
  4. Step 4: Simplify right side
    10,031.29x = 83,770,757.92
  5. Step 5: Solve for x
    x = 83,770,757.92/10,031.29
  6. Step 6: Final answer
    x = 8,350.95

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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.