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Finding the Fourth Proportional to 8,814.93, 12,164.22 and 5,280.09

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Solution

The fourth proportional to 8,814.93, 12,164.22 and 5,280.09 is: 7,286.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,814.93 : 12,164.22 = 5,280.09 : x
  2. Step 2: Convert to fraction form
    8,814.93/12,164.22 = 5,280.09/x
  3. Step 3: Cross multiply
    8,814.93x = 12,164.22 × 5,280.09
  4. Step 4: Simplify right side
    8,814.93x = 64,228,176.38
  5. Step 5: Solve for x
    x = 64,228,176.38/8,814.93
  6. Step 6: Final answer
    x = 7,286.29

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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.