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Finding the Fourth Proportional to 10,335.57, 15,469.41 and 7,327.83

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Solution

The fourth proportional to 10,335.57, 15,469.41 and 7,327.83 is: 10,967.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,335.57 : 15,469.41 = 7,327.83 : x
  2. Step 2: Convert to fraction form
    10,335.57/15,469.41 = 7,327.83/x
  3. Step 3: Cross multiply
    10,335.57x = 15,469.41 × 7,327.83
  4. Step 4: Simplify right side
    10,335.57x = 113,357,206.68
  5. Step 5: Solve for x
    x = 113,357,206.68/10,335.57
  6. Step 6: Final answer
    x = 10,967.68

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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.