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Finding the Fourth Proportional to 8,175.84, 11,279.16 and 6,400.32

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Solution

The fourth proportional to 8,175.84, 11,279.16 and 6,400.32 is: 8,829.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,175.84 : 11,279.16 = 6,400.32 : x
  2. Step 2: Convert to fraction form
    8,175.84/11,279.16 = 6,400.32/x
  3. Step 3: Cross multiply
    8,175.84x = 11,279.16 × 6,400.32
  4. Step 4: Simplify right side
    8,175.84x = 72,190,233.33
  5. Step 5: Solve for x
    x = 72,190,233.33/8,175.84
  6. Step 6: Final answer
    x = 8,829.70

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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.