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Finding the Fourth Proportional to 8,524.14, 11,761.50 and 4,985.75

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Solution

The fourth proportional to 8,524.14, 11,761.50 and 4,985.75 is: 6,879.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,524.14 : 11,761.50 = 4,985.75 : x
  2. Step 2: Convert to fraction form
    8,524.14/11,761.50 = 4,985.75/x
  3. Step 3: Cross multiply
    8,524.14x = 11,761.50 × 4,985.75
  4. Step 4: Simplify right side
    8,524.14x = 58,639,946.73
  5. Step 5: Solve for x
    x = 58,639,946.73/8,524.14
  6. Step 6: Final answer
    x = 6,879.28

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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.