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Finding the Fourth Proportional to 11,462.38, 15,817.79 and 6,357.87

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Solution

The fourth proportional to 11,462.38, 15,817.79 and 6,357.87 is: 8,773.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,462.38 : 15,817.79 = 6,357.87 : x
  2. Step 2: Convert to fraction form
    11,462.38/15,817.79 = 6,357.87/x
  3. Step 3: Cross multiply
    11,462.38x = 15,817.79 × 6,357.87
  4. Step 4: Simplify right side
    11,462.38x = 100,567,468.40
  5. Step 5: Solve for x
    x = 100,567,468.40/11,462.38
  6. Step 6: Final answer
    x = 8,773.70

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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.