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Finding the Fourth Proportional to 8,711.82, 12,023.13 and 5,356.83

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Solution

The fourth proportional to 8,711.82, 12,023.13 and 5,356.83 is: 7,392.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,711.82 : 12,023.13 = 5,356.83 : x
  2. Step 2: Convert to fraction form
    8,711.82/12,023.13 = 5,356.83/x
  3. Step 3: Cross multiply
    8,711.82x = 12,023.13 × 5,356.83
  4. Step 4: Simplify right side
    8,711.82x = 64,405,928.65
  5. Step 5: Solve for x
    x = 64,405,928.65/8,711.82
  6. Step 6: Final answer
    x = 7,392.94

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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.