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Finding the Fourth Proportional to 11,344.20, 15,662.64 and 8,686.86

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Solution

The fourth proportional to 11,344.20, 15,662.64 and 8,686.86 is: 11,993.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,344.20 : 15,662.64 = 8,686.86 : x
  2. Step 2: Convert to fraction form
    11,344.20/15,662.64 = 8,686.86/x
  3. Step 3: Cross multiply
    11,344.20x = 15,662.64 × 8,686.86
  4. Step 4: Simplify right side
    11,344.20x = 136,059,160.91
  5. Step 5: Solve for x
    x = 136,059,160.91/11,344.20
  6. Step 6: Final answer
    x = 11,993.72

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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.