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Finding the Fourth Proportional to 8,062.24, 12,092.28 and 3,131.41

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Solution

The fourth proportional to 8,062.24, 12,092.28 and 3,131.41 is: 4,696.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,062.24 : 12,092.28 = 3,131.41 : x
  2. Step 2: Convert to fraction form
    8,062.24/12,092.28 = 3,131.41/x
  3. Step 3: Cross multiply
    8,062.24x = 12,092.28 × 3,131.41
  4. Step 4: Simplify right side
    8,062.24x = 37,865,886.51
  5. Step 5: Solve for x
    x = 37,865,886.51/8,062.24
  6. Step 6: Final answer
    x = 4,696.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.