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Finding the Fourth Proportional to 8,524.10, 11,765.45 and 7,638.37

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Solution

The fourth proportional to 8,524.10, 11,765.45 and 7,638.37 is: 10,542.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,524.10 : 11,765.45 = 7,638.37 : x
  2. Step 2: Convert to fraction form
    8,524.10/11,765.45 = 7,638.37/x
  3. Step 3: Cross multiply
    8,524.10x = 11,765.45 × 7,638.37
  4. Step 4: Simplify right side
    8,524.10x = 89,868,860.32
  5. Step 5: Solve for x
    x = 89,868,860.32/8,524.10
  6. Step 6: Final answer
    x = 10,542.91

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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.