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Finding the Fourth Proportional to 8,350.05, 12,451.38 and 8,275.06

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Solution

The fourth proportional to 8,350.05, 12,451.38 and 8,275.06 is: 12,339.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,350.05 : 12,451.38 = 8,275.06 : x
  2. Step 2: Convert to fraction form
    8,350.05/12,451.38 = 8,275.06/x
  3. Step 3: Cross multiply
    8,350.05x = 12,451.38 × 8,275.06
  4. Step 4: Simplify right side
    8,350.05x = 103,035,916.49
  5. Step 5: Solve for x
    x = 103,035,916.49/8,350.05
  6. Step 6: Final answer
    x = 12,339.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.