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Finding the Fourth Proportional to 10,920.62, 15,070.38 and 6,204.90

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Solution

The fourth proportional to 10,920.62, 15,070.38 and 6,204.90 is: 8,562.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,920.62 : 15,070.38 = 6,204.90 : x
  2. Step 2: Convert to fraction form
    10,920.62/15,070.38 = 6,204.90/x
  3. Step 3: Cross multiply
    10,920.62x = 15,070.38 × 6,204.90
  4. Step 4: Simplify right side
    10,920.62x = 93,510,200.86
  5. Step 5: Solve for x
    x = 93,510,200.86/10,920.62
  6. Step 6: Final answer
    x = 8,562.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.