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Finding the Fourth Proportional to 8,663.32, 11,942.94 and 6,175

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Solution

The fourth proportional to 8,663.32, 11,942.94 and 6,175 is: 8,512.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,663.32 : 11,942.94 = 6,175 : x
  2. Step 2: Convert to fraction form
    8,663.32/11,942.94 = 6,175/x
  3. Step 3: Cross multiply
    8,663.32x = 11,942.94 × 6,175
  4. Step 4: Simplify right side
    8,663.32x = 73,747,654.50
  5. Step 5: Solve for x
    x = 73,747,654.50/8,663.32
  6. Step 6: Final answer
    x = 8,512.63

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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.