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Finding the Fourth Proportional to 8,005.53, 11,047.39 and 4,468.66

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Solution

The fourth proportional to 8,005.53, 11,047.39 and 4,468.66 is: 6,166.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,005.53 : 11,047.39 = 4,468.66 : x
  2. Step 2: Convert to fraction form
    8,005.53/11,047.39 = 4,468.66/x
  3. Step 3: Cross multiply
    8,005.53x = 11,047.39 × 4,468.66
  4. Step 4: Simplify right side
    8,005.53x = 49,367,029.80
  5. Step 5: Solve for x
    x = 49,367,029.80/8,005.53
  6. Step 6: Final answer
    x = 6,166.62

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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.