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Finding the Fourth Proportional to 10,408.52, 15,616.38 and 6,029.80

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Solution

The fourth proportional to 10,408.52, 15,616.38 and 6,029.80 is: 9,046.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,408.52 : 15,616.38 = 6,029.80 : x
  2. Step 2: Convert to fraction form
    10,408.52/15,616.38 = 6,029.80/x
  3. Step 3: Cross multiply
    10,408.52x = 15,616.38 × 6,029.80
  4. Step 4: Simplify right side
    10,408.52x = 94,163,648.12
  5. Step 5: Solve for x
    x = 94,163,648.12/10,408.52
  6. Step 6: Final answer
    x = 9,046.79

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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.