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Finding the Fourth Proportional to 6,711.96, 10,061.85 and 2,814.24

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Solution

The fourth proportional to 6,711.96, 10,061.85 and 2,814.24 is: 4,218.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,711.96 : 10,061.85 = 2,814.24 : x
  2. Step 2: Convert to fraction form
    6,711.96/10,061.85 = 2,814.24/x
  3. Step 3: Cross multiply
    6,711.96x = 10,061.85 × 2,814.24
  4. Step 4: Simplify right side
    6,711.96x = 28,316,460.74
  5. Step 5: Solve for x
    x = 28,316,460.74/6,711.96
  6. Step 6: Final answer
    x = 4,218.81

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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.