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Finding the Fourth Proportional to 8,044.74, 12,068.70 and 3,114.42

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Solution

The fourth proportional to 8,044.74, 12,068.70 and 3,114.42 is: 4,672.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,044.74 : 12,068.70 = 3,114.42 : x
  2. Step 2: Convert to fraction form
    8,044.74/12,068.70 = 3,114.42/x
  3. Step 3: Cross multiply
    8,044.74x = 12,068.70 × 3,114.42
  4. Step 4: Simplify right side
    8,044.74x = 37,587,000.65
  5. Step 5: Solve for x
    x = 37,587,000.65/8,044.74
  6. Step 6: Final answer
    x = 4,672.25

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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.