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Finding the Fourth Proportional to 8,524.02, 11,762.31 and 4,986.54

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Solution

The fourth proportional to 8,524.02, 11,762.31 and 4,986.54 is: 6,880.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,524.02 : 11,762.31 = 4,986.54 : x
  2. Step 2: Convert to fraction form
    8,524.02/11,762.31 = 4,986.54/x
  3. Step 3: Cross multiply
    8,524.02x = 11,762.31 × 4,986.54
  4. Step 4: Simplify right side
    8,524.02x = 58,653,229.31
  5. Step 5: Solve for x
    x = 58,653,229.31/8,524.02
  6. Step 6: Final answer
    x = 6,880.94

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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.