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Finding the Fourth Proportional to 10,711.13, 16,065.48 and 6,774.53

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Solution

The fourth proportional to 10,711.13, 16,065.48 and 6,774.53 is: 10,161.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,711.13 : 16,065.48 = 6,774.53 : x
  2. Step 2: Convert to fraction form
    10,711.13/16,065.48 = 6,774.53/x
  3. Step 3: Cross multiply
    10,711.13x = 16,065.48 × 6,774.53
  4. Step 4: Simplify right side
    10,711.13x = 108,836,076.22
  5. Step 5: Solve for x
    x = 108,836,076.22/10,711.13
  6. Step 6: Final answer
    x = 10,161.03

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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.