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Finding the Fourth Proportional to 8,194, 11,307.72 and 4,468

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Solution

The fourth proportional to 8,194, 11,307.72 and 4,468 is: 6,165.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,194 : 11,307.72 = 4,468 : x
  2. Step 2: Convert to fraction form
    8,194/11,307.72 = 4,468/x
  3. Step 3: Cross multiply
    8,194x = 11,307.72 × 4,468
  4. Step 4: Simplify right side
    8,194x = 50,522,892.96
  5. Step 5: Solve for x
    x = 50,522,892.96/8,194
  6. Step 6: Final answer
    x = 6,165.84

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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.