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Finding the Fourth Proportional to 10,031.17, 13,843.78 and 5,555.33

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Solution

The fourth proportional to 10,031.17, 13,843.78 and 5,555.33 is: 7,666.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,031.17 : 13,843.78 = 5,555.33 : x
  2. Step 2: Convert to fraction form
    10,031.17/13,843.78 = 5,555.33/x
  3. Step 3: Cross multiply
    10,031.17x = 13,843.78 × 5,555.33
  4. Step 4: Simplify right side
    10,031.17x = 76,906,766.35
  5. Step 5: Solve for x
    x = 76,906,766.35/10,031.17
  6. Step 6: Final answer
    x = 7,666.78

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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.