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Finding the Fourth Proportional to 6,711.32, 9,260.24 and 3,877.68

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Solution

The fourth proportional to 6,711.32, 9,260.24 and 3,877.68 is: 5,350.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,711.32 : 9,260.24 = 3,877.68 : x
  2. Step 2: Convert to fraction form
    6,711.32/9,260.24 = 3,877.68/x
  3. Step 3: Cross multiply
    6,711.32x = 9,260.24 × 3,877.68
  4. Step 4: Simplify right side
    6,711.32x = 35,908,247.44
  5. Step 5: Solve for x
    x = 35,908,247.44/6,711.32
  6. Step 6: Final answer
    x = 5,350.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.