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Finding the Fourth Proportional to 10,182.63, 15,343.31 and 8,374.25

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Solution

The fourth proportional to 10,182.63, 15,343.31 and 8,374.25 is: 12,618.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,182.63 : 15,343.31 = 8,374.25 : x
  2. Step 2: Convert to fraction form
    10,182.63/15,343.31 = 8,374.25/x
  3. Step 3: Cross multiply
    10,182.63x = 15,343.31 × 8,374.25
  4. Step 4: Simplify right side
    10,182.63x = 128,488,713.77
  5. Step 5: Solve for x
    x = 128,488,713.77/10,182.63
  6. Step 6: Final answer
    x = 12,618.42

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.