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Finding the Fourth Proportional to 10,507.38, 14,500.80 and 6,031.14

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Solution

The fourth proportional to 10,507.38, 14,500.80 and 6,031.14 is: 8,323.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,507.38 : 14,500.80 = 6,031.14 : x
  2. Step 2: Convert to fraction form
    10,507.38/14,500.80 = 6,031.14/x
  3. Step 3: Cross multiply
    10,507.38x = 14,500.80 × 6,031.14
  4. Step 4: Simplify right side
    10,507.38x = 87,456,354.91
  5. Step 5: Solve for x
    x = 87,456,354.91/10,507.38
  6. Step 6: Final answer
    x = 8,323.33

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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.