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Finding the Fourth Proportional to 10,114.58, 15,169.71 and 3,187.46

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Solution

The fourth proportional to 10,114.58, 15,169.71 and 3,187.46 is: 4,780.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,114.58 : 15,169.71 = 3,187.46 : x
  2. Step 2: Convert to fraction form
    10,114.58/15,169.71 = 3,187.46/x
  3. Step 3: Cross multiply
    10,114.58x = 15,169.71 × 3,187.46
  4. Step 4: Simplify right side
    10,114.58x = 48,352,843.84
  5. Step 5: Solve for x
    x = 48,352,843.84/10,114.58
  6. Step 6: Final answer
    x = 4,780.51

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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.