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Finding the Fourth Proportional to 11,202.60, 16,860.90 and 8,443.20

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Solution

The fourth proportional to 11,202.60, 16,860.90 and 8,443.20 is: 12,707.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,202.60 : 16,860.90 = 8,443.20 : x
  2. Step 2: Convert to fraction form
    11,202.60/16,860.90 = 8,443.20/x
  3. Step 3: Cross multiply
    11,202.60x = 16,860.90 × 8,443.20
  4. Step 4: Simplify right side
    11,202.60x = 142,359,950.88
  5. Step 5: Solve for x
    x = 142,359,950.88/11,202.60
  6. Step 6: Final answer
    x = 12,707.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.