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Finding the Fourth Proportional to 11,916.15, 16,443.86 and 6,611.46

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Solution

The fourth proportional to 11,916.15, 16,443.86 and 6,611.46 is: 9,123.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,916.15 : 16,443.86 = 6,611.46 : x
  2. Step 2: Convert to fraction form
    11,916.15/16,443.86 = 6,611.46/x
  3. Step 3: Cross multiply
    11,916.15x = 16,443.86 × 6,611.46
  4. Step 4: Simplify right side
    11,916.15x = 108,717,922.64
  5. Step 5: Solve for x
    x = 108,717,922.64/11,916.15
  6. Step 6: Final answer
    x = 9,123.58

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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.