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Finding the Fourth Proportional to 7,938.66, 10,952.28 and 5,105.66

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Solution

The fourth proportional to 7,938.66, 10,952.28 and 5,105.66 is: 7,043.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,938.66 : 10,952.28 = 5,105.66 : x
  2. Step 2: Convert to fraction form
    7,938.66/10,952.28 = 5,105.66/x
  3. Step 3: Cross multiply
    7,938.66x = 10,952.28 × 5,105.66
  4. Step 4: Simplify right side
    7,938.66x = 55,918,617.90
  5. Step 5: Solve for x
    x = 55,918,617.90/7,938.66
  6. Step 6: Final answer
    x = 7,043.84

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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.