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Finding the Fourth Proportional to 10,923.24, 15,073.38 and 7,202.28

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Solution

The fourth proportional to 10,923.24, 15,073.38 and 7,202.28 is: 9,938.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,923.24 : 15,073.38 = 7,202.28 : x
  2. Step 2: Convert to fraction form
    10,923.24/15,073.38 = 7,202.28/x
  3. Step 3: Cross multiply
    10,923.24x = 15,073.38 × 7,202.28
  4. Step 4: Simplify right side
    10,923.24x = 108,562,703.31
  5. Step 5: Solve for x
    x = 108,562,703.31/10,923.24
  6. Step 6: Final answer
    x = 9,938.69

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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.