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Finding the Fourth Proportional to 7,402.44, 11,109.14 and 3,506.86

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Solution

The fourth proportional to 7,402.44, 11,109.14 and 3,506.86 is: 5,262.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,402.44 : 11,109.14 = 3,506.86 : x
  2. Step 2: Convert to fraction form
    7,402.44/11,109.14 = 3,506.86/x
  3. Step 3: Cross multiply
    7,402.44x = 11,109.14 × 3,506.86
  4. Step 4: Simplify right side
    7,402.44x = 38,958,125.62
  5. Step 5: Solve for x
    x = 38,958,125.62/7,402.44
  6. Step 6: Final answer
    x = 5,262.88

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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.