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Finding the Fourth Proportional to 10,121.95, 15,185.90 and 5,195.03

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Solution

The fourth proportional to 10,121.95, 15,185.90 and 5,195.03 is: 7,794.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,121.95 : 15,185.90 = 5,195.03 : x
  2. Step 2: Convert to fraction form
    10,121.95/15,185.90 = 5,195.03/x
  3. Step 3: Cross multiply
    10,121.95x = 15,185.90 × 5,195.03
  4. Step 4: Simplify right side
    10,121.95x = 78,891,206.08
  5. Step 5: Solve for x
    x = 78,891,206.08/10,121.95
  6. Step 6: Final answer
    x = 7,794.07

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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.