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Finding the Fourth Proportional to 8,884.64, 12,261.84 and 7,389.92

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Solution

The fourth proportional to 8,884.64, 12,261.84 and 7,389.92 is: 10,198.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,884.64 : 12,261.84 = 7,389.92 : x
  2. Step 2: Convert to fraction form
    8,884.64/12,261.84 = 7,389.92/x
  3. Step 3: Cross multiply
    8,884.64x = 12,261.84 × 7,389.92
  4. Step 4: Simplify right side
    8,884.64x = 90,614,016.65
  5. Step 5: Solve for x
    x = 90,614,016.65/8,884.64
  6. Step 6: Final answer
    x = 10,198.95

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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.