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Finding the Fourth Proportional to 10,491.36, 15,725.28 and 5,286.28

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Solution

The fourth proportional to 10,491.36, 15,725.28 and 5,286.28 is: 7,923.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,491.36 : 15,725.28 = 5,286.28 : x
  2. Step 2: Convert to fraction form
    10,491.36/15,725.28 = 5,286.28/x
  3. Step 3: Cross multiply
    10,491.36x = 15,725.28 × 5,286.28
  4. Step 4: Simplify right side
    10,491.36x = 83,128,233.16
  5. Step 5: Solve for x
    x = 83,128,233.16/10,491.36
  6. Step 6: Final answer
    x = 7,923.49

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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.