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Finding the Fourth Proportional to 8,243.28, 12,368.46 and 5,470.92

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Solution

The fourth proportional to 8,243.28, 12,368.46 and 5,470.92 is: 8,208.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,243.28 : 12,368.46 = 5,470.92 : x
  2. Step 2: Convert to fraction form
    8,243.28/12,368.46 = 5,470.92/x
  3. Step 3: Cross multiply
    8,243.28x = 12,368.46 × 5,470.92
  4. Step 4: Simplify right side
    8,243.28x = 67,666,855.18
  5. Step 5: Solve for x
    x = 67,666,855.18/8,243.28
  6. Step 6: Final answer
    x = 8,208.73

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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.