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Finding the Fourth Proportional to 7,335.86, 11,002.74 and 2,405.70

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Solution

The fourth proportional to 7,335.86, 11,002.74 and 2,405.70 is: 3,608.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,335.86 : 11,002.74 = 2,405.70 : x
  2. Step 2: Convert to fraction form
    7,335.86/11,002.74 = 2,405.70/x
  3. Step 3: Cross multiply
    7,335.86x = 11,002.74 × 2,405.70
  4. Step 4: Simplify right side
    7,335.86x = 26,469,291.62
  5. Step 5: Solve for x
    x = 26,469,291.62/7,335.86
  6. Step 6: Final answer
    x = 3,608.21

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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.