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Finding the Fourth Proportional to 8,291.04, 12,333.72 and 8,207.52

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Solution

The fourth proportional to 8,291.04, 12,333.72 and 8,207.52 is: 12,209.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,291.04 : 12,333.72 = 8,207.52 : x
  2. Step 2: Convert to fraction form
    8,291.04/12,333.72 = 8,207.52/x
  3. Step 3: Cross multiply
    8,291.04x = 12,333.72 × 8,207.52
  4. Step 4: Simplify right side
    8,291.04x = 101,229,253.57
  5. Step 5: Solve for x
    x = 101,229,253.57/8,291.04
  6. Step 6: Final answer
    x = 12,209.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.