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Finding the Fourth Proportional to 8,616.26, 12,923.67 and 3,420.74

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Solution

The fourth proportional to 8,616.26, 12,923.67 and 3,420.74 is: 5,130.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,616.26 : 12,923.67 = 3,420.74 : x
  2. Step 2: Convert to fraction form
    8,616.26/12,923.67 = 3,420.74/x
  3. Step 3: Cross multiply
    8,616.26x = 12,923.67 × 3,420.74
  4. Step 4: Simplify right side
    8,616.26x = 44,208,514.92
  5. Step 5: Solve for x
    x = 44,208,514.92/8,616.26
  6. Step 6: Final answer
    x = 5,130.82

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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.