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Finding the Fourth Proportional to 8,390.64, 12,583.20 and 2,842.56

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Solution

The fourth proportional to 8,390.64, 12,583.20 and 2,842.56 is: 4,262.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,390.64 : 12,583.20 = 2,842.56 : x
  2. Step 2: Convert to fraction form
    8,390.64/12,583.20 = 2,842.56/x
  3. Step 3: Cross multiply
    8,390.64x = 12,583.20 × 2,842.56
  4. Step 4: Simplify right side
    8,390.64x = 35,768,500.99
  5. Step 5: Solve for x
    x = 35,768,500.99/8,390.64
  6. Step 6: Final answer
    x = 4,262.90

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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.