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Finding the Fourth Proportional to 7,657.32, 11,490.36 and 4,147.44

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Solution

The fourth proportional to 7,657.32, 11,490.36 and 4,147.44 is: 6,223.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,657.32 : 11,490.36 = 4,147.44 : x
  2. Step 2: Convert to fraction form
    7,657.32/11,490.36 = 4,147.44/x
  3. Step 3: Cross multiply
    7,657.32x = 11,490.36 × 4,147.44
  4. Step 4: Simplify right side
    7,657.32x = 47,655,578.68
  5. Step 5: Solve for x
    x = 47,655,578.68/7,657.32
  6. Step 6: Final answer
    x = 6,223.53

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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.