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Finding the Fourth Proportional to 8,415.38, 12,623.07 and 2,259.38

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Solution

The fourth proportional to 8,415.38, 12,623.07 and 2,259.38 is: 3,389.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,415.38 : 12,623.07 = 2,259.38 : x
  2. Step 2: Convert to fraction form
    8,415.38/12,623.07 = 2,259.38/x
  3. Step 3: Cross multiply
    8,415.38x = 12,623.07 × 2,259.38
  4. Step 4: Simplify right side
    8,415.38x = 28,520,248.78
  5. Step 5: Solve for x
    x = 28,520,248.78/8,415.38
  6. Step 6: Final answer
    x = 3,389.06

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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.