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Finding the Fourth Proportional to 8,005, 11,047.26 and 4,468.24

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Solution

The fourth proportional to 8,005, 11,047.26 and 4,468.24 is: 6,166.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,005 : 11,047.26 = 4,468.24 : x
  2. Step 2: Convert to fraction form
    8,005/11,047.26 = 4,468.24/x
  3. Step 3: Cross multiply
    8,005x = 11,047.26 × 4,468.24
  4. Step 4: Simplify right side
    8,005x = 49,361,809.02
  5. Step 5: Solve for x
    x = 49,361,809.02/8,005
  6. Step 6: Final answer
    x = 6,166.37

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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.