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Finding the Fourth Proportional to 8,175.34, 11,278.47 and 6,399.82

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Solution

The fourth proportional to 8,175.34, 11,278.47 and 6,399.82 is: 8,829.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,175.34 : 11,278.47 = 6,399.82 : x
  2. Step 2: Convert to fraction form
    8,175.34/11,278.47 = 6,399.82/x
  3. Step 3: Cross multiply
    8,175.34x = 11,278.47 × 6,399.82
  4. Step 4: Simplify right side
    8,175.34x = 72,180,177.88
  5. Step 5: Solve for x
    x = 72,180,177.88/8,175.34
  6. Step 6: Final answer
    x = 8,829.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.