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Finding the Fourth Proportional to 11,686.59, 17,515.32 and 5,844.87

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Solution

The fourth proportional to 11,686.59, 17,515.32 and 5,844.87 is: 8,760.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,686.59 : 17,515.32 = 5,844.87 : x
  2. Step 2: Convert to fraction form
    11,686.59/17,515.32 = 5,844.87/x
  3. Step 3: Cross multiply
    11,686.59x = 17,515.32 × 5,844.87
  4. Step 4: Simplify right side
    11,686.59x = 102,374,768.41
  5. Step 5: Solve for x
    x = 102,374,768.41/11,686.59
  6. Step 6: Final answer
    x = 8,760.02

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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.