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Finding the Fourth Proportional to 10,752.44, 16,086.74 and 9,425.66

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Solution

The fourth proportional to 10,752.44, 16,086.74 and 9,425.66 is: 14,101.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,752.44 : 16,086.74 = 9,425.66 : x
  2. Step 2: Convert to fraction form
    10,752.44/16,086.74 = 9,425.66/x
  3. Step 3: Cross multiply
    10,752.44x = 16,086.74 × 9,425.66
  4. Step 4: Simplify right side
    10,752.44x = 151,628,141.75
  5. Step 5: Solve for x
    x = 151,628,141.75/10,752.44
  6. Step 6: Final answer
    x = 14,101.74

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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.