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Finding the Fourth Proportional to 8,265.44, 11,412.06 and 5,399

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Solution

The fourth proportional to 8,265.44, 11,412.06 and 5,399 is: 7,454.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,265.44 : 11,412.06 = 5,399 : x
  2. Step 2: Convert to fraction form
    8,265.44/11,412.06 = 5,399/x
  3. Step 3: Cross multiply
    8,265.44x = 11,412.06 × 5,399
  4. Step 4: Simplify right side
    8,265.44x = 61,613,711.94
  5. Step 5: Solve for x
    x = 61,613,711.94/8,265.44
  6. Step 6: Final answer
    x = 7,454.38

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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.