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Finding the Fourth Proportional to 10,031.42, 13,842.31 and 5,555.05

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Solution

The fourth proportional to 10,031.42, 13,842.31 and 5,555.05 is: 7,665.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,031.42 : 13,842.31 = 5,555.05 : x
  2. Step 2: Convert to fraction form
    10,031.42/13,842.31 = 5,555.05/x
  3. Step 3: Cross multiply
    10,031.42x = 13,842.31 × 5,555.05
  4. Step 4: Simplify right side
    10,031.42x = 76,894,724.17
  5. Step 5: Solve for x
    x = 76,894,724.17/10,031.42
  6. Step 6: Final answer
    x = 7,665.39

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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.