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Finding the Fourth Proportional to 10,101.58, 15,171.21 and 8,256.61

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Solution

The fourth proportional to 10,101.58, 15,171.21 and 8,256.61 is: 12,400.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,101.58 : 15,171.21 = 8,256.61 : x
  2. Step 2: Convert to fraction form
    10,101.58/15,171.21 = 8,256.61/x
  3. Step 3: Cross multiply
    10,101.58x = 15,171.21 × 8,256.61
  4. Step 4: Simplify right side
    10,101.58x = 125,262,764.20
  5. Step 5: Solve for x
    x = 125,262,764.20/10,101.58
  6. Step 6: Final answer
    x = 12,400.31

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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.