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Finding the Fourth Proportional to 8,543.12, 12,815.28 and 2,700.20

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Solution

The fourth proportional to 8,543.12, 12,815.28 and 2,700.20 is: 4,050.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,543.12 : 12,815.28 = 2,700.20 : x
  2. Step 2: Convert to fraction form
    8,543.12/12,815.28 = 2,700.20/x
  3. Step 3: Cross multiply
    8,543.12x = 12,815.28 × 2,700.20
  4. Step 4: Simplify right side
    8,543.12x = 34,603,819.06
  5. Step 5: Solve for x
    x = 34,603,819.06/8,543.12
  6. Step 6: Final answer
    x = 4,050.49

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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.