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Finding the Fourth Proportional to 10,565.38, 15,843.78 and 3,987.97

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Solution

The fourth proportional to 10,565.38, 15,843.78 and 3,987.97 is: 5,980.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,565.38 : 15,843.78 = 3,987.97 : x
  2. Step 2: Convert to fraction form
    10,565.38/15,843.78 = 3,987.97/x
  3. Step 3: Cross multiply
    10,565.38x = 15,843.78 × 3,987.97
  4. Step 4: Simplify right side
    10,565.38x = 63,184,519.33
  5. Step 5: Solve for x
    x = 63,184,519.33/10,565.38
  6. Step 6: Final answer
    x = 5,980.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.