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Finding the Fourth Proportional to 11,291.48, 15,565.92 and 7,923.86

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Solution

The fourth proportional to 11,291.48, 15,565.92 and 7,923.86 is: 10,923.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,291.48 : 15,565.92 = 7,923.86 : x
  2. Step 2: Convert to fraction form
    11,291.48/15,565.92 = 7,923.86/x
  3. Step 3: Cross multiply
    11,291.48x = 15,565.92 × 7,923.86
  4. Step 4: Simplify right side
    11,291.48x = 123,342,170.85
  5. Step 5: Solve for x
    x = 123,342,170.85/11,291.48
  6. Step 6: Final answer
    x = 10,923.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.