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Finding the Fourth Proportional to 10,952.25, 16,424.16 and 8,616.84

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Solution

The fourth proportional to 10,952.25, 16,424.16 and 8,616.84 is: 12,921.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,952.25 : 16,424.16 = 8,616.84 : x
  2. Step 2: Convert to fraction form
    10,952.25/16,424.16 = 8,616.84/x
  3. Step 3: Cross multiply
    10,952.25x = 16,424.16 × 8,616.84
  4. Step 4: Simplify right side
    10,952.25x = 141,524,276.73
  5. Step 5: Solve for x
    x = 141,524,276.73/10,952.25
  6. Step 6: Final answer
    x = 12,921.94

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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.