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Finding the Fourth Proportional to 8,056.81, 11,115.39 and 6,166.45

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Solution

The fourth proportional to 8,056.81, 11,115.39 and 6,166.45 is: 8,507.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,056.81 : 11,115.39 = 6,166.45 : x
  2. Step 2: Convert to fraction form
    8,056.81/11,115.39 = 6,166.45/x
  3. Step 3: Cross multiply
    8,056.81x = 11,115.39 × 6,166.45
  4. Step 4: Simplify right side
    8,056.81x = 68,542,496.67
  5. Step 5: Solve for x
    x = 68,542,496.67/8,056.81
  6. Step 6: Final answer
    x = 8,507.40

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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.