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Finding the Fourth Proportional to 10,952.82, 16,400.07 and 8,557.02

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Solution

The fourth proportional to 10,952.82, 16,400.07 and 8,557.02 is: 12,812.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,952.82 : 16,400.07 = 8,557.02 : x
  2. Step 2: Convert to fraction form
    10,952.82/16,400.07 = 8,557.02/x
  3. Step 3: Cross multiply
    10,952.82x = 16,400.07 × 8,557.02
  4. Step 4: Simplify right side
    10,952.82x = 140,335,726.99
  5. Step 5: Solve for x
    x = 140,335,726.99/10,952.82
  6. Step 6: Final answer
    x = 12,812.75

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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.