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Finding the Fourth Proportional to 10,100, 13,938.54 and 5,910.68

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Solution

The fourth proportional to 10,100, 13,938.54 and 5,910.68 is: 8,157.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,100 : 13,938.54 = 5,910.68 : x
  2. Step 2: Convert to fraction form
    10,100/13,938.54 = 5,910.68/x
  3. Step 3: Cross multiply
    10,100x = 13,938.54 × 5,910.68
  4. Step 4: Simplify right side
    10,100x = 82,386,249.61
  5. Step 5: Solve for x
    x = 82,386,249.61/10,100
  6. Step 6: Final answer
    x = 8,157.05

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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.