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Finding the Fourth Proportional to 7,945.28, 10,965.28 and 5,076

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Solution

The fourth proportional to 7,945.28, 10,965.28 and 5,076 is: 7,005.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,945.28 : 10,965.28 = 5,076 : x
  2. Step 2: Convert to fraction form
    7,945.28/10,965.28 = 5,076/x
  3. Step 3: Cross multiply
    7,945.28x = 10,965.28 × 5,076
  4. Step 4: Simplify right side
    7,945.28x = 55,659,761.28
  5. Step 5: Solve for x
    x = 55,659,761.28/7,945.28
  6. Step 6: Final answer
    x = 7,005.39

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Why These Related Problems?

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