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Finding the Fourth Proportional to 8,249.85, 11,384.66 and 4,664.75

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Solution

The fourth proportional to 8,249.85, 11,384.66 and 4,664.75 is: 6,437.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,249.85 : 11,384.66 = 4,664.75 : x
  2. Step 2: Convert to fraction form
    8,249.85/11,384.66 = 4,664.75/x
  3. Step 3: Cross multiply
    8,249.85x = 11,384.66 × 4,664.75
  4. Step 4: Simplify right side
    8,249.85x = 53,106,569.41
  5. Step 5: Solve for x
    x = 53,106,569.41/8,249.85
  6. Step 6: Final answer
    x = 6,437.28

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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.