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Finding the Fourth Proportional to 8,757.82, 12,085.50 and 5,219.20

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Solution

The fourth proportional to 8,757.82, 12,085.50 and 5,219.20 is: 7,202.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,757.82 : 12,085.50 = 5,219.20 : x
  2. Step 2: Convert to fraction form
    8,757.82/12,085.50 = 5,219.20/x
  3. Step 3: Cross multiply
    8,757.82x = 12,085.50 × 5,219.20
  4. Step 4: Simplify right side
    8,757.82x = 63,076,641.60
  5. Step 5: Solve for x
    x = 63,076,641.60/8,757.82
  6. Step 6: Final answer
    x = 7,202.32

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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.