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Finding the Fourth Proportional to 8,524.50, 12,782.72 and 2,977.18

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Solution

The fourth proportional to 8,524.50, 12,782.72 and 2,977.18 is: 4,464.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,524.50 : 12,782.72 = 2,977.18 : x
  2. Step 2: Convert to fraction form
    8,524.50/12,782.72 = 2,977.18/x
  3. Step 3: Cross multiply
    8,524.50x = 12,782.72 × 2,977.18
  4. Step 4: Simplify right side
    8,524.50x = 38,056,458.33
  5. Step 5: Solve for x
    x = 38,056,458.33/8,524.50
  6. Step 6: Final answer
    x = 4,464.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.