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Finding the Fourth Proportional to 8,044.50, 12,064.18 and 7,519.76

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Solution

The fourth proportional to 8,044.50, 12,064.18 and 7,519.76 is: 11,277.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,044.50 : 12,064.18 = 7,519.76 : x
  2. Step 2: Convert to fraction form
    8,044.50/12,064.18 = 7,519.76/x
  3. Step 3: Cross multiply
    8,044.50x = 12,064.18 × 7,519.76
  4. Step 4: Simplify right side
    8,044.50x = 90,719,659.08
  5. Step 5: Solve for x
    x = 90,719,659.08/8,044.50
  6. Step 6: Final answer
    x = 11,277.23

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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.