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Finding the Fourth Proportional to 7,335.86, 11,002.71 and 2,409.44

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Solution

The fourth proportional to 7,335.86, 11,002.71 and 2,409.44 is: 3,613.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,335.86 : 11,002.71 = 2,409.44 : x
  2. Step 2: Convert to fraction form
    7,335.86/11,002.71 = 2,409.44/x
  3. Step 3: Cross multiply
    7,335.86x = 11,002.71 × 2,409.44
  4. Step 4: Simplify right side
    7,335.86x = 26,510,369.58
  5. Step 5: Solve for x
    x = 26,510,369.58/7,335.86
  6. Step 6: Final answer
    x = 3,613.81

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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.