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Finding the Fourth Proportional to 8,347.38, 11,507.12 and 6,354.47

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Solution

The fourth proportional to 8,347.38, 11,507.12 and 6,354.47 is: 8,759.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,347.38 : 11,507.12 = 6,354.47 : x
  2. Step 2: Convert to fraction form
    8,347.38/11,507.12 = 6,354.47/x
  3. Step 3: Cross multiply
    8,347.38x = 11,507.12 × 6,354.47
  4. Step 4: Simplify right side
    8,347.38x = 73,121,559.52
  5. Step 5: Solve for x
    x = 73,121,559.52/8,347.38
  6. Step 6: Final answer
    x = 8,759.82

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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.