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Finding the Fourth Proportional to 8,711.52, 13,065.86 and 2,867.38

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Solution

The fourth proportional to 8,711.52, 13,065.86 and 2,867.38 is: 4,300.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,711.52 : 13,065.86 = 2,867.38 : x
  2. Step 2: Convert to fraction form
    8,711.52/13,065.86 = 2,867.38/x
  3. Step 3: Cross multiply
    8,711.52x = 13,065.86 × 2,867.38
  4. Step 4: Simplify right side
    8,711.52x = 37,464,785.65
  5. Step 5: Solve for x
    x = 37,464,785.65/8,711.52
  6. Step 6: Final answer
    x = 4,300.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.