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Finding the Fourth Proportional to 8,277.50, 12,421.38 and 3,347.18

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Solution

The fourth proportional to 8,277.50, 12,421.38 and 3,347.18 is: 5,022.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,277.50 : 12,421.38 = 3,347.18 : x
  2. Step 2: Convert to fraction form
    8,277.50/12,421.38 = 3,347.18/x
  3. Step 3: Cross multiply
    8,277.50x = 12,421.38 × 3,347.18
  4. Step 4: Simplify right side
    8,277.50x = 41,576,591.73
  5. Step 5: Solve for x
    x = 41,576,591.73/8,277.50
  6. Step 6: Final answer
    x = 5,022.85

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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.