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Finding the Fourth Proportional to 8,318.80, 11,470.62 and 5,667.76

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Solution

The fourth proportional to 8,318.80, 11,470.62 and 5,667.76 is: 7,815.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,318.80 : 11,470.62 = 5,667.76 : x
  2. Step 2: Convert to fraction form
    8,318.80/11,470.62 = 5,667.76/x
  3. Step 3: Cross multiply
    8,318.80x = 11,470.62 × 5,667.76
  4. Step 4: Simplify right side
    8,318.80x = 65,012,721.21
  5. Step 5: Solve for x
    x = 65,012,721.21/8,318.80
  6. Step 6: Final answer
    x = 7,815.16

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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.