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Finding the Fourth Proportional to 8,537.48, 11,768.82 and 6,671.24

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Solution

The fourth proportional to 8,537.48, 11,768.82 and 6,671.24 is: 9,196.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,537.48 : 11,768.82 = 6,671.24 : x
  2. Step 2: Convert to fraction form
    8,537.48/11,768.82 = 6,671.24/x
  3. Step 3: Cross multiply
    8,537.48x = 11,768.82 × 6,671.24
  4. Step 4: Simplify right side
    8,537.48x = 78,512,622.74
  5. Step 5: Solve for x
    x = 78,512,622.74/8,537.48
  6. Step 6: Final answer
    x = 9,196.23

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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.