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Finding the Fourth Proportional to 10,761.75, 16,138.53 and 4,187.07

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Solution

The fourth proportional to 10,761.75, 16,138.53 and 4,187.07 is: 6,279.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,761.75 : 16,138.53 = 4,187.07 : x
  2. Step 2: Convert to fraction form
    10,761.75/16,138.53 = 4,187.07/x
  3. Step 3: Cross multiply
    10,761.75x = 16,138.53 × 4,187.07
  4. Step 4: Simplify right side
    10,761.75x = 67,573,154.81
  5. Step 5: Solve for x
    x = 67,573,154.81/10,761.75
  6. Step 6: Final answer
    x = 6,279.01

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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.