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Finding the Fourth Proportional to 8,502.84, 11,732.09 and 4,964.44

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Solution

The fourth proportional to 8,502.84, 11,732.09 and 4,964.44 is: 6,849.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,502.84 : 11,732.09 = 4,964.44 : x
  2. Step 2: Convert to fraction form
    8,502.84/11,732.09 = 4,964.44/x
  3. Step 3: Cross multiply
    8,502.84x = 11,732.09 × 4,964.44
  4. Step 4: Simplify right side
    8,502.84x = 58,243,256.88
  5. Step 5: Solve for x
    x = 58,243,256.88/8,502.84
  6. Step 6: Final answer
    x = 6,849.86

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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.