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Finding the Fourth Proportional to 8,644.11, 12,964.61 and 2,402.57

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Solution

The fourth proportional to 8,644.11, 12,964.61 and 2,402.57 is: 3,603.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,644.11 : 12,964.61 = 2,402.57 : x
  2. Step 2: Convert to fraction form
    8,644.11/12,964.61 = 2,402.57/x
  3. Step 3: Cross multiply
    8,644.11x = 12,964.61 × 2,402.57
  4. Step 4: Simplify right side
    8,644.11x = 31,148,306.21
  5. Step 5: Solve for x
    x = 31,148,306.21/8,644.11
  6. Step 6: Final answer
    x = 3,603.41

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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.