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Finding the Fourth Proportional to 8,114.83, 11,188.32 and 6,772.37

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Solution

The fourth proportional to 8,114.83, 11,188.32 and 6,772.37 is: 9,337.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,114.83 : 11,188.32 = 6,772.37 : x
  2. Step 2: Convert to fraction form
    8,114.83/11,188.32 = 6,772.37/x
  3. Step 3: Cross multiply
    8,114.83x = 11,188.32 × 6,772.37
  4. Step 4: Simplify right side
    8,114.83x = 75,771,442.72
  5. Step 5: Solve for x
    x = 75,771,442.72/8,114.83
  6. Step 6: Final answer
    x = 9,337.40

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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.