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Finding the Fourth Proportional to 8,026.56, 12,044.16 and 3,349.80

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Solution

The fourth proportional to 8,026.56, 12,044.16 and 3,349.80 is: 5,026.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,026.56 : 12,044.16 = 3,349.80 : x
  2. Step 2: Convert to fraction form
    8,026.56/12,044.16 = 3,349.80/x
  3. Step 3: Cross multiply
    8,026.56x = 12,044.16 × 3,349.80
  4. Step 4: Simplify right side
    8,026.56x = 40,345,527.17
  5. Step 5: Solve for x
    x = 40,345,527.17/8,026.56
  6. Step 6: Final answer
    x = 5,026.50

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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.