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Finding the Fourth Proportional to 11,064.50, 16,557.78 and 6,906.47

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Solution

The fourth proportional to 11,064.50, 16,557.78 and 6,906.47 is: 10,335.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,064.50 : 16,557.78 = 6,906.47 : x
  2. Step 2: Convert to fraction form
    11,064.50/16,557.78 = 6,906.47/x
  3. Step 3: Cross multiply
    11,064.50x = 16,557.78 × 6,906.47
  4. Step 4: Simplify right side
    11,064.50x = 114,355,810.84
  5. Step 5: Solve for x
    x = 114,355,810.84/11,064.50
  6. Step 6: Final answer
    x = 10,335.38

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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.