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Finding the Fourth Proportional to 12,586.12, 18,877.96 and 3,821.11

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Solution

The fourth proportional to 12,586.12, 18,877.96 and 3,821.11 is: 5,731.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,586.12 : 18,877.96 = 3,821.11 : x
  2. Step 2: Convert to fraction form
    12,586.12/18,877.96 = 3,821.11/x
  3. Step 3: Cross multiply
    12,586.12x = 18,877.96 × 3,821.11
  4. Step 4: Simplify right side
    12,586.12x = 72,134,719.32
  5. Step 5: Solve for x
    x = 72,134,719.32/12,586.12
  6. Step 6: Final answer
    x = 5,731.29

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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.