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Finding the Fourth Proportional to 12,586.28, 18,863.08 and 5,182.32

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Solution

The fourth proportional to 12,586.28, 18,863.08 and 5,182.32 is: 7,766.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,586.28 : 18,863.08 = 5,182.32 : x
  2. Step 2: Convert to fraction form
    12,586.28/18,863.08 = 5,182.32/x
  3. Step 3: Cross multiply
    12,586.28x = 18,863.08 × 5,182.32
  4. Step 4: Simplify right side
    12,586.28x = 97,754,516.75
  5. Step 5: Solve for x
    x = 97,754,516.75/12,586.28
  6. Step 6: Final answer
    x = 7,766.75

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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.