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Finding the Fourth Proportional to 7,725.28, 10,662.80 and 5,076.28

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Solution

The fourth proportional to 7,725.28, 10,662.80 and 5,076.28 is: 7,006.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,725.28 : 10,662.80 = 5,076.28 : x
  2. Step 2: Convert to fraction form
    7,725.28/10,662.80 = 5,076.28/x
  3. Step 3: Cross multiply
    7,725.28x = 10,662.80 × 5,076.28
  4. Step 4: Simplify right side
    7,725.28x = 54,127,358.38
  5. Step 5: Solve for x
    x = 54,127,358.38/7,725.28
  6. Step 6: Final answer
    x = 7,006.52

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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.