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Finding the Fourth Proportional to 7,814.73, 11,713.90 and 2,881.23

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Solution

The fourth proportional to 7,814.73, 11,713.90 and 2,881.23 is: 4,318.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,814.73 : 11,713.90 = 2,881.23 : x
  2. Step 2: Convert to fraction form
    7,814.73/11,713.90 = 2,881.23/x
  3. Step 3: Cross multiply
    7,814.73x = 11,713.90 × 2,881.23
  4. Step 4: Simplify right side
    7,814.73x = 33,750,440.10
  5. Step 5: Solve for x
    x = 33,750,440.10/7,814.73
  6. Step 6: Final answer
    x = 4,318.82

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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.