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Finding the Fourth Proportional to 8,329.07, 11,480.75 and 5,639.44

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Solution

The fourth proportional to 8,329.07, 11,480.75 and 5,639.44 is: 7,773.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,329.07 : 11,480.75 = 5,639.44 : x
  2. Step 2: Convert to fraction form
    8,329.07/11,480.75 = 5,639.44/x
  3. Step 3: Cross multiply
    8,329.07x = 11,480.75 × 5,639.44
  4. Step 4: Simplify right side
    8,329.07x = 64,745,000.78
  5. Step 5: Solve for x
    x = 64,745,000.78/8,329.07
  6. Step 6: Final answer
    x = 7,773.38

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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.