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Finding the Fourth Proportional to 8,004.66, 11,046.08 and 4,467.79

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Solution

The fourth proportional to 8,004.66, 11,046.08 and 4,467.79 is: 6,165.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,004.66 : 11,046.08 = 4,467.79 : x
  2. Step 2: Convert to fraction form
    8,004.66/11,046.08 = 4,467.79/x
  3. Step 3: Cross multiply
    8,004.66x = 11,046.08 × 4,467.79
  4. Step 4: Simplify right side
    8,004.66x = 49,351,543.42
  5. Step 5: Solve for x
    x = 49,351,543.42/8,004.66
  6. Step 6: Final answer
    x = 6,165.35

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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.