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Finding the Fourth Proportional to 10,012.52, 15,019.56 and 2,992

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Solution

The fourth proportional to 10,012.52, 15,019.56 and 2,992 is: 4,488.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,012.52 : 15,019.56 = 2,992 : x
  2. Step 2: Convert to fraction form
    10,012.52/15,019.56 = 2,992/x
  3. Step 3: Cross multiply
    10,012.52x = 15,019.56 × 2,992
  4. Step 4: Simplify right side
    10,012.52x = 44,938,523.52
  5. Step 5: Solve for x
    x = 44,938,523.52/10,012.52
  6. Step 6: Final answer
    x = 4,488.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.