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Finding the Fourth Proportional to 11,565.90, 17,338.22 and 4,168.55

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Solution

The fourth proportional to 11,565.90, 17,338.22 and 4,168.55 is: 6,249.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,565.90 : 17,338.22 = 4,168.55 : x
  2. Step 2: Convert to fraction form
    11,565.90/17,338.22 = 4,168.55/x
  3. Step 3: Cross multiply
    11,565.90x = 17,338.22 × 4,168.55
  4. Step 4: Simplify right side
    11,565.90x = 72,275,259.48
  5. Step 5: Solve for x
    x = 72,275,259.48/11,565.90
  6. Step 6: Final answer
    x = 6,249.00

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Why These Related Problems?

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