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Finding the Fourth Proportional to 10,278.05, 14,171.88 and 7,593.15

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Solution

The fourth proportional to 10,278.05, 14,171.88 and 7,593.15 is: 10,469.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,278.05 : 14,171.88 = 7,593.15 : x
  2. Step 2: Convert to fraction form
    10,278.05/14,171.88 = 7,593.15/x
  3. Step 3: Cross multiply
    10,278.05x = 14,171.88 × 7,593.15
  4. Step 4: Simplify right side
    10,278.05x = 107,609,210.62
  5. Step 5: Solve for x
    x = 107,609,210.62/10,278.05
  6. Step 6: Final answer
    x = 10,469.81

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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.