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Finding the Fourth Proportional to 8,062.76, 12,098.81 and 3,382.35

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Solution

The fourth proportional to 8,062.76, 12,098.81 and 3,382.35 is: 5,075.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,062.76 : 12,098.81 = 3,382.35 : x
  2. Step 2: Convert to fraction form
    8,062.76/12,098.81 = 3,382.35/x
  3. Step 3: Cross multiply
    8,062.76x = 12,098.81 × 3,382.35
  4. Step 4: Simplify right side
    8,062.76x = 40,922,410.00
  5. Step 5: Solve for x
    x = 40,922,410.00/8,062.76
  6. Step 6: Final answer
    x = 5,075.48

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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.