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Finding the Fourth Proportional to 12,586.56, 18,882.15 and 5,187

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Solution

The fourth proportional to 12,586.56, 18,882.15 and 5,187 is: 7,781.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,586.56 : 18,882.15 = 5,187 : x
  2. Step 2: Convert to fraction form
    12,586.56/18,882.15 = 5,187/x
  3. Step 3: Cross multiply
    12,586.56x = 18,882.15 × 5,187
  4. Step 4: Simplify right side
    12,586.56x = 97,941,712.05
  5. Step 5: Solve for x
    x = 97,941,712.05/12,586.56
  6. Step 6: Final answer
    x = 7,781.45

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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.