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Finding the Fourth Proportional to 10,121.90, 15,182.94 and 3,101.90

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Solution

The fourth proportional to 10,121.90, 15,182.94 and 3,101.90 is: 4,652.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,121.90 : 15,182.94 = 3,101.90 : x
  2. Step 2: Convert to fraction form
    10,121.90/15,182.94 = 3,101.90/x
  3. Step 3: Cross multiply
    10,121.90x = 15,182.94 × 3,101.90
  4. Step 4: Simplify right side
    10,121.90x = 47,095,961.59
  5. Step 5: Solve for x
    x = 47,095,961.59/10,121.90
  6. Step 6: Final answer
    x = 4,652.88

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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.