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Finding the Fourth Proportional to 11,498.73, 15,868.38 and 6,462.65

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Solution

The fourth proportional to 11,498.73, 15,868.38 and 6,462.65 is: 8,918.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,498.73 : 15,868.38 = 6,462.65 : x
  2. Step 2: Convert to fraction form
    11,498.73/15,868.38 = 6,462.65/x
  3. Step 3: Cross multiply
    11,498.73x = 15,868.38 × 6,462.65
  4. Step 4: Simplify right side
    11,498.73x = 102,551,849.91
  5. Step 5: Solve for x
    x = 102,551,849.91/11,498.73
  6. Step 6: Final answer
    x = 8,918.54

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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.