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Finding the Fourth Proportional to 8,103.61, 12,154.33 and 2,259.73

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Solution

The fourth proportional to 8,103.61, 12,154.33 and 2,259.73 is: 3,389.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,103.61 : 12,154.33 = 2,259.73 : x
  2. Step 2: Convert to fraction form
    8,103.61/12,154.33 = 2,259.73/x
  3. Step 3: Cross multiply
    8,103.61x = 12,154.33 × 2,259.73
  4. Step 4: Simplify right side
    8,103.61x = 27,465,504.13
  5. Step 5: Solve for x
    x = 27,465,504.13/8,103.61
  6. Step 6: Final answer
    x = 3,389.29

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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.