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Finding the Fourth Proportional to 7,965.81, 11,959.65 and 5,057.10

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Solution

The fourth proportional to 7,965.81, 11,959.65 and 5,057.10 is: 7,592.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,965.81 : 11,959.65 = 5,057.10 : x
  2. Step 2: Convert to fraction form
    7,965.81/11,959.65 = 5,057.10/x
  3. Step 3: Cross multiply
    7,965.81x = 11,959.65 × 5,057.10
  4. Step 4: Simplify right side
    7,965.81x = 60,481,146.02
  5. Step 5: Solve for x
    x = 60,481,146.02/7,965.81
  6. Step 6: Final answer
    x = 7,592.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.