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Finding the Fourth Proportional to 11,916.50, 17,888.78 and 6,989.90

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Solution

The fourth proportional to 11,916.50, 17,888.78 and 6,989.90 is: 10,493.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,916.50 : 17,888.78 = 6,989.90 : x
  2. Step 2: Convert to fraction form
    11,916.50/17,888.78 = 6,989.90/x
  3. Step 3: Cross multiply
    11,916.50x = 17,888.78 × 6,989.90
  4. Step 4: Simplify right side
    11,916.50x = 125,040,783.32
  5. Step 5: Solve for x
    x = 125,040,783.32/11,916.50
  6. Step 6: Final answer
    x = 10,493.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.