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Finding the Fourth Proportional to 11,295.56, 16,962.78 and 6,105.08

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Solution

The fourth proportional to 11,295.56, 16,962.78 and 6,105.08 is: 9,168.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,295.56 : 16,962.78 = 6,105.08 : x
  2. Step 2: Convert to fraction form
    11,295.56/16,962.78 = 6,105.08/x
  3. Step 3: Cross multiply
    11,295.56x = 16,962.78 × 6,105.08
  4. Step 4: Simplify right side
    11,295.56x = 103,559,128.92
  5. Step 5: Solve for x
    x = 103,559,128.92/11,295.56
  6. Step 6: Final answer
    x = 9,168.13

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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.