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Finding the Fourth Proportional to 8,169.75, 12,254.40 and 2,623.47

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Solution

The fourth proportional to 8,169.75, 12,254.40 and 2,623.47 is: 3,935.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,169.75 : 12,254.40 = 2,623.47 : x
  2. Step 2: Convert to fraction form
    8,169.75/12,254.40 = 2,623.47/x
  3. Step 3: Cross multiply
    8,169.75x = 12,254.40 × 2,623.47
  4. Step 4: Simplify right side
    8,169.75x = 32,149,050.77
  5. Step 5: Solve for x
    x = 32,149,050.77/8,169.75
  6. Step 6: Final answer
    x = 3,935.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.