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Finding the Fourth Proportional to 8,412.23, 12,620.21 and 2,569.30

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Solution

The fourth proportional to 8,412.23, 12,620.21 and 2,569.30 is: 3,854.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,412.23 : 12,620.21 = 2,569.30 : x
  2. Step 2: Convert to fraction form
    8,412.23/12,620.21 = 2,569.30/x
  3. Step 3: Cross multiply
    8,412.23x = 12,620.21 × 2,569.30
  4. Step 4: Simplify right side
    8,412.23x = 32,425,061.16
  5. Step 5: Solve for x
    x = 32,425,061.16/8,412.23
  6. Step 6: Final answer
    x = 3,854.51

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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.