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Finding the Fourth Proportional to 10,711.16, 15,993.84 and 9,451.25

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Solution

The fourth proportional to 10,711.16, 15,993.84 and 9,451.25 is: 14,112.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,711.16 : 15,993.84 = 9,451.25 : x
  2. Step 2: Convert to fraction form
    10,711.16/15,993.84 = 9,451.25/x
  3. Step 3: Cross multiply
    10,711.16x = 15,993.84 × 9,451.25
  4. Step 4: Simplify right side
    10,711.16x = 151,161,780.30
  5. Step 5: Solve for x
    x = 151,161,780.30/10,711.16
  6. Step 6: Final answer
    x = 14,112.55

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.