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Finding the Fourth Proportional to 10,269.98, 15,405.53 and 3,249.47

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Solution

The fourth proportional to 10,269.98, 15,405.53 and 3,249.47 is: 4,874.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,269.98 : 15,405.53 = 3,249.47 : x
  2. Step 2: Convert to fraction form
    10,269.98/15,405.53 = 3,249.47/x
  3. Step 3: Cross multiply
    10,269.98x = 15,405.53 × 3,249.47
  4. Step 4: Simplify right side
    10,269.98x = 50,059,854.21
  5. Step 5: Solve for x
    x = 50,059,854.21/10,269.98
  6. Step 6: Final answer
    x = 4,874.39

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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.