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Finding the Fourth Proportional to 10,013.52, 15,021.06 and 2,993

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Solution

The fourth proportional to 10,013.52, 15,021.06 and 2,993 is: 4,489.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,013.52 : 15,021.06 = 2,993 : x
  2. Step 2: Convert to fraction form
    10,013.52/15,021.06 = 2,993/x
  3. Step 3: Cross multiply
    10,013.52x = 15,021.06 × 2,993
  4. Step 4: Simplify right side
    10,013.52x = 44,958,032.58
  5. Step 5: Solve for x
    x = 44,958,032.58/10,013.52
  6. Step 6: Final answer
    x = 4,489.73

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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.