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Finding the Fourth Proportional to 10,106.68, 15,162.36 and 3,181

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Solution

The fourth proportional to 10,106.68, 15,162.36 and 3,181 is: 4,772.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,106.68 : 15,162.36 = 3,181 : x
  2. Step 2: Convert to fraction form
    10,106.68/15,162.36 = 3,181/x
  3. Step 3: Cross multiply
    10,106.68x = 15,162.36 × 3,181
  4. Step 4: Simplify right side
    10,106.68x = 48,231,467.16
  5. Step 5: Solve for x
    x = 48,231,467.16/10,106.68
  6. Step 6: Final answer
    x = 4,772.24

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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.