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Finding the Fourth Proportional to 7,586.13, 11,381.11 and 2,114.13

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Solution

The fourth proportional to 7,586.13, 11,381.11 and 2,114.13 is: 3,171.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,586.13 : 11,381.11 = 2,114.13 : x
  2. Step 2: Convert to fraction form
    7,586.13/11,381.11 = 2,114.13/x
  3. Step 3: Cross multiply
    7,586.13x = 11,381.11 × 2,114.13
  4. Step 4: Simplify right side
    7,586.13x = 24,061,083.89
  5. Step 5: Solve for x
    x = 24,061,083.89/7,586.13
  6. Step 6: Final answer
    x = 3,171.72

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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.