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Finding the Fourth Proportional to 10,149.44, 15,226.49 and 3,575.68

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Solution

The fourth proportional to 10,149.44, 15,226.49 and 3,575.68 is: 5,364.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,149.44 : 15,226.49 = 3,575.68 : x
  2. Step 2: Convert to fraction form
    10,149.44/15,226.49 = 3,575.68/x
  3. Step 3: Cross multiply
    10,149.44x = 15,226.49 × 3,575.68
  4. Step 4: Simplify right side
    10,149.44x = 54,445,026.64
  5. Step 5: Solve for x
    x = 54,445,026.64/10,149.44
  6. Step 6: Final answer
    x = 5,364.34

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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.