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Finding the Fourth Proportional to 11,291.25, 15,582.47 and 6,814.92

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Solution

The fourth proportional to 11,291.25, 15,582.47 and 6,814.92 is: 9,404.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,291.25 : 15,582.47 = 6,814.92 : x
  2. Step 2: Convert to fraction form
    11,291.25/15,582.47 = 6,814.92/x
  3. Step 3: Cross multiply
    11,291.25x = 15,582.47 × 6,814.92
  4. Step 4: Simplify right side
    11,291.25x = 106,193,252.38
  5. Step 5: Solve for x
    x = 106,193,252.38/11,291.25
  6. Step 6: Final answer
    x = 9,404.92

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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.