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Finding the Fourth Proportional to 8,004.75, 11,046.86 and 4,468.64

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Solution

The fourth proportional to 8,004.75, 11,046.86 and 4,468.64 is: 6,166.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,004.75 : 11,046.86 = 4,468.64 : x
  2. Step 2: Convert to fraction form
    8,004.75/11,046.86 = 4,468.64/x
  3. Step 3: Cross multiply
    8,004.75x = 11,046.86 × 4,468.64
  4. Step 4: Simplify right side
    8,004.75x = 49,364,445.74
  5. Step 5: Solve for x
    x = 49,364,445.74/8,004.75
  6. Step 6: Final answer
    x = 6,166.89

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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.