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Finding the Fourth Proportional to 8,152.80, 12,227.84 and 2,307.96

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Solution

The fourth proportional to 8,152.80, 12,227.84 and 2,307.96 is: 3,461.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,152.80 : 12,227.84 = 2,307.96 : x
  2. Step 2: Convert to fraction form
    8,152.80/12,227.84 = 2,307.96/x
  3. Step 3: Cross multiply
    8,152.80x = 12,227.84 × 2,307.96
  4. Step 4: Simplify right side
    8,152.80x = 28,221,365.61
  5. Step 5: Solve for x
    x = 28,221,365.61/8,152.80
  6. Step 6: Final answer
    x = 3,461.56

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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.