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Finding the Fourth Proportional to 8,784, 12,121.92 and 5,472

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Solution

The fourth proportional to 8,784, 12,121.92 and 5,472 is: 7,551.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,784 : 12,121.92 = 5,472 : x
  2. Step 2: Convert to fraction form
    8,784/12,121.92 = 5,472/x
  3. Step 3: Cross multiply
    8,784x = 12,121.92 × 5,472
  4. Step 4: Simplify right side
    8,784x = 66,331,146.24
  5. Step 5: Solve for x
    x = 66,331,146.24/8,784
  6. Step 6: Final answer
    x = 7,551.36

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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.