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Finding the Fourth Proportional to 8,573.48, 12,854.04 and 3,891.14

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Solution

The fourth proportional to 8,573.48, 12,854.04 and 3,891.14 is: 5,833.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,573.48 : 12,854.04 = 3,891.14 : x
  2. Step 2: Convert to fraction form
    8,573.48/12,854.04 = 3,891.14/x
  3. Step 3: Cross multiply
    8,573.48x = 12,854.04 × 3,891.14
  4. Step 4: Simplify right side
    8,573.48x = 50,016,795.21
  5. Step 5: Solve for x
    x = 50,016,795.21/8,573.48
  6. Step 6: Final answer
    x = 5,833.90

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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.