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Finding the Fourth Proportional to 11,683.61, 16,123.82 and 6,648.29

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Solution

The fourth proportional to 11,683.61, 16,123.82 and 6,648.29 is: 9,174.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,683.61 : 16,123.82 = 6,648.29 : x
  2. Step 2: Convert to fraction form
    11,683.61/16,123.82 = 6,648.29/x
  3. Step 3: Cross multiply
    11,683.61x = 16,123.82 × 6,648.29
  4. Step 4: Simplify right side
    11,683.61x = 107,195,717.41
  5. Step 5: Solve for x
    x = 107,195,717.41/11,683.61
  6. Step 6: Final answer
    x = 9,174.88

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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.