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Finding the Fourth Proportional to 10,061.10, 13,876.76 and 6,077.12

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Solution

The fourth proportional to 10,061.10, 13,876.76 and 6,077.12 is: 8,381.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,061.10 : 13,876.76 = 6,077.12 : x
  2. Step 2: Convert to fraction form
    10,061.10/13,876.76 = 6,077.12/x
  3. Step 3: Cross multiply
    10,061.10x = 13,876.76 × 6,077.12
  4. Step 4: Simplify right side
    10,061.10x = 84,330,635.96
  5. Step 5: Solve for x
    x = 84,330,635.96/10,061.10
  6. Step 6: Final answer
    x = 8,381.85

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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.