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Finding the Fourth Proportional to 10,012.23, 15,012 and 5,329.35

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Solution

The fourth proportional to 10,012.23, 15,012 and 5,329.35 is: 7,990.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,012.23 : 15,012 = 5,329.35 : x
  2. Step 2: Convert to fraction form
    10,012.23/15,012 = 5,329.35/x
  3. Step 3: Cross multiply
    10,012.23x = 15,012 × 5,329.35
  4. Step 4: Simplify right side
    10,012.23x = 80,004,202.20
  5. Step 5: Solve for x
    x = 80,004,202.20/10,012.23
  6. Step 6: Final answer
    x = 7,990.65

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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.