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Finding the Fourth Proportional to 8,441.28, 12,663.30 and 2,597.90

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Solution

The fourth proportional to 8,441.28, 12,663.30 and 2,597.90 is: 3,897.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,441.28 : 12,663.30 = 2,597.90 : x
  2. Step 2: Convert to fraction form
    8,441.28/12,663.30 = 2,597.90/x
  3. Step 3: Cross multiply
    8,441.28x = 12,663.30 × 2,597.90
  4. Step 4: Simplify right side
    8,441.28x = 32,897,923.75
  5. Step 5: Solve for x
    x = 32,897,923.75/8,441.28
  6. Step 6: Final answer
    x = 3,897.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.