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Finding the Fourth Proportional to 8,062.41, 12,098.28 and 3,382

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Solution

The fourth proportional to 8,062.41, 12,098.28 and 3,382 is: 5,074.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,062.41 : 12,098.28 = 3,382 : x
  2. Step 2: Convert to fraction form
    8,062.41/12,098.28 = 3,382/x
  3. Step 3: Cross multiply
    8,062.41x = 12,098.28 × 3,382
  4. Step 4: Simplify right side
    8,062.41x = 40,916,374.51
  5. Step 5: Solve for x
    x = 40,916,374.51/8,062.41
  6. Step 6: Final answer
    x = 5,074.96

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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.