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Finding the Fourth Proportional to 8,515.50, 12,775.68 and 3,582.60

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Solution

The fourth proportional to 8,515.50, 12,775.68 and 3,582.60 is: 5,374.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,515.50 : 12,775.68 = 3,582.60 : x
  2. Step 2: Convert to fraction form
    8,515.50/12,775.68 = 3,582.60/x
  3. Step 3: Cross multiply
    8,515.50x = 12,775.68 × 3,582.60
  4. Step 4: Simplify right side
    8,515.50x = 45,770,151.17
  5. Step 5: Solve for x
    x = 45,770,151.17/8,515.50
  6. Step 6: Final answer
    x = 5,374.92

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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.