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Finding the Fourth Proportional to 8,266.38, 12,397.95 and 2,421.42

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Solution

The fourth proportional to 8,266.38, 12,397.95 and 2,421.42 is: 3,631.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,266.38 : 12,397.95 = 2,421.42 : x
  2. Step 2: Convert to fraction form
    8,266.38/12,397.95 = 2,421.42/x
  3. Step 3: Cross multiply
    8,266.38x = 12,397.95 × 2,421.42
  4. Step 4: Simplify right side
    8,266.38x = 30,020,644.09
  5. Step 5: Solve for x
    x = 30,020,644.09/8,266.38
  6. Step 6: Final answer
    x = 3,631.66

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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.