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Finding the Fourth Proportional to 7,568.65, 11,353.26 and 3,407.86

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Solution

The fourth proportional to 7,568.65, 11,353.26 and 3,407.86 is: 5,111.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,568.65 : 11,353.26 = 3,407.86 : x
  2. Step 2: Convert to fraction form
    7,568.65/11,353.26 = 3,407.86/x
  3. Step 3: Cross multiply
    7,568.65x = 11,353.26 × 3,407.86
  4. Step 4: Simplify right side
    7,568.65x = 38,690,320.62
  5. Step 5: Solve for x
    x = 38,690,320.62/7,568.65
  6. Step 6: Final answer
    x = 5,111.92

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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.