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Finding the Fourth Proportional to 7,568.60, 11,352.77 and 3,405.66

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Solution

The fourth proportional to 7,568.60, 11,352.77 and 3,405.66 is: 5,108.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,568.60 : 11,352.77 = 3,405.66 : x
  2. Step 2: Convert to fraction form
    7,568.60/11,352.77 = 3,405.66/x
  3. Step 3: Cross multiply
    7,568.60x = 11,352.77 × 3,405.66
  4. Step 4: Simplify right side
    7,568.60x = 38,663,657.65
  5. Step 5: Solve for x
    x = 38,663,657.65/7,568.60
  6. Step 6: Final answer
    x = 5,108.43

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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.