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Finding the Fourth Proportional to 8,005.42, 11,046.46 and 4,468.78

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Solution

The fourth proportional to 8,005.42, 11,046.46 and 4,468.78 is: 6,166.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,005.42 : 11,046.46 = 4,468.78 : x
  2. Step 2: Convert to fraction form
    8,005.42/11,046.46 = 4,468.78/x
  3. Step 3: Cross multiply
    8,005.42x = 11,046.46 × 4,468.78
  4. Step 4: Simplify right side
    8,005.42x = 49,364,177.17
  5. Step 5: Solve for x
    x = 49,364,177.17/8,005.42
  6. Step 6: Final answer
    x = 6,166.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.