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Finding the Fourth Proportional to 8,102, 11,180.32 and 4,467.93

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Solution

The fourth proportional to 8,102, 11,180.32 and 4,467.93 is: 6,165.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,102 : 11,180.32 = 4,467.93 : x
  2. Step 2: Convert to fraction form
    8,102/11,180.32 = 4,467.93/x
  3. Step 3: Cross multiply
    8,102x = 11,180.32 × 4,467.93
  4. Step 4: Simplify right side
    8,102x = 49,952,887.14
  5. Step 5: Solve for x
    x = 49,952,887.14/8,102
  6. Step 6: Final answer
    x = 6,165.50

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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.