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Finding the Fourth Proportional to 8,365.98, 12,548.66 and 2,819.20

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Solution

The fourth proportional to 8,365.98, 12,548.66 and 2,819.20 is: 4,228.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,365.98 : 12,548.66 = 2,819.20 : x
  2. Step 2: Convert to fraction form
    8,365.98/12,548.66 = 2,819.20/x
  3. Step 3: Cross multiply
    8,365.98x = 12,548.66 × 2,819.20
  4. Step 4: Simplify right side
    8,365.98x = 35,377,182.27
  5. Step 5: Solve for x
    x = 35,377,182.27/8,365.98
  6. Step 6: Final answer
    x = 4,228.70

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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.