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Finding the Fourth Proportional to 11,916.58, 16,444.34 and 6,611.36

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Solution

The fourth proportional to 11,916.58, 16,444.34 and 6,611.36 is: 9,123.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,916.58 : 16,444.34 = 6,611.36 : x
  2. Step 2: Convert to fraction form
    11,916.58/16,444.34 = 6,611.36/x
  3. Step 3: Cross multiply
    11,916.58x = 16,444.34 × 6,611.36
  4. Step 4: Simplify right side
    11,916.58x = 108,719,451.70
  5. Step 5: Solve for x
    x = 108,719,451.70/11,916.58
  6. Step 6: Final answer
    x = 9,123.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.