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Finding the Fourth Proportional to 8,281.70, 12,422.55 and 5,324.90

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Solution

The fourth proportional to 8,281.70, 12,422.55 and 5,324.90 is: 7,987.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,281.70 : 12,422.55 = 5,324.90 : x
  2. Step 2: Convert to fraction form
    8,281.70/12,422.55 = 5,324.90/x
  3. Step 3: Cross multiply
    8,281.70x = 12,422.55 × 5,324.90
  4. Step 4: Simplify right side
    8,281.70x = 66,148,836.50
  5. Step 5: Solve for x
    x = 66,148,836.50/8,281.70
  6. Step 6: Final answer
    x = 7,987.35

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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.