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Finding the Fourth Proportional to 8,158.68, 11,251.14 and 5,175

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Solution

The fourth proportional to 8,158.68, 11,251.14 and 5,175 is: 7,136.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,158.68 : 11,251.14 = 5,175 : x
  2. Step 2: Convert to fraction form
    8,158.68/11,251.14 = 5,175/x
  3. Step 3: Cross multiply
    8,158.68x = 11,251.14 × 5,175
  4. Step 4: Simplify right side
    8,158.68x = 58,224,649.50
  5. Step 5: Solve for x
    x = 58,224,649.50/8,158.68
  6. Step 6: Final answer
    x = 7,136.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.