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Finding the Fourth Proportional to 8,723.64, 12,040.37 and 5,186.17

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Solution

The fourth proportional to 8,723.64, 12,040.37 and 5,186.17 is: 7,157.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,723.64 : 12,040.37 = 5,186.17 : x
  2. Step 2: Convert to fraction form
    8,723.64/12,040.37 = 5,186.17/x
  3. Step 3: Cross multiply
    8,723.64x = 12,040.37 × 5,186.17
  4. Step 4: Simplify right side
    8,723.64x = 62,443,414.25
  5. Step 5: Solve for x
    x = 62,443,414.25/8,723.64
  6. Step 6: Final answer
    x = 7,157.95

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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.