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Finding the Fourth Proportional to 8,306.02, 11,455.82 and 5,322.13

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Solution

The fourth proportional to 8,306.02, 11,455.82 and 5,322.13 is: 7,340.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,306.02 : 11,455.82 = 5,322.13 : x
  2. Step 2: Convert to fraction form
    8,306.02/11,455.82 = 5,322.13/x
  3. Step 3: Cross multiply
    8,306.02x = 11,455.82 × 5,322.13
  4. Step 4: Simplify right side
    8,306.02x = 60,969,363.30
  5. Step 5: Solve for x
    x = 60,969,363.30/8,306.02
  6. Step 6: Final answer
    x = 7,340.38

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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.