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Finding the Fourth Proportional to 10,203.74, 15,291.24 and 8,114.46

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Solution

The fourth proportional to 10,203.74, 15,291.24 and 8,114.46 is: 12,160.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,203.74 : 15,291.24 = 8,114.46 : x
  2. Step 2: Convert to fraction form
    10,203.74/15,291.24 = 8,114.46/x
  3. Step 3: Cross multiply
    10,203.74x = 15,291.24 × 8,114.46
  4. Step 4: Simplify right side
    10,203.74x = 124,080,155.33
  5. Step 5: Solve for x
    x = 124,080,155.33/10,203.74
  6. Step 6: Final answer
    x = 12,160.26

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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.