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Finding the Fourth Proportional to 8,041.65, 12,062.81 and 2,498.75

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Solution

The fourth proportional to 8,041.65, 12,062.81 and 2,498.75 is: 3,748.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,041.65 : 12,062.81 = 2,498.75 : x
  2. Step 2: Convert to fraction form
    8,041.65/12,062.81 = 2,498.75/x
  3. Step 3: Cross multiply
    8,041.65x = 12,062.81 × 2,498.75
  4. Step 4: Simplify right side
    8,041.65x = 30,141,923.60
  5. Step 5: Solve for x
    x = 30,141,923.60/8,041.65
  6. Step 6: Final answer
    x = 3,748.23

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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.