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Finding the Fourth Proportional to 10,031.38, 13,843.10 and 5,555.12

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Solution

The fourth proportional to 10,031.38, 13,843.10 and 5,555.12 is: 7,665.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,031.38 : 13,843.10 = 5,555.12 : x
  2. Step 2: Convert to fraction form
    10,031.38/13,843.10 = 5,555.12/x
  3. Step 3: Cross multiply
    10,031.38x = 13,843.10 × 5,555.12
  4. Step 4: Simplify right side
    10,031.38x = 76,900,081.67
  5. Step 5: Solve for x
    x = 76,900,081.67/10,031.38
  6. Step 6: Final answer
    x = 7,665.95

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Why These Related Problems?

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