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Finding the Fourth Proportional to 8,006.75, 11,049.57 and 4,649.36

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Solution

The fourth proportional to 8,006.75, 11,049.57 and 4,649.36 is: 6,416.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,006.75 : 11,049.57 = 4,649.36 : x
  2. Step 2: Convert to fraction form
    8,006.75/11,049.57 = 4,649.36/x
  3. Step 3: Cross multiply
    8,006.75x = 11,049.57 × 4,649.36
  4. Step 4: Simplify right side
    8,006.75x = 51,373,373.53
  5. Step 5: Solve for x
    x = 51,373,373.53/8,006.75
  6. Step 6: Final answer
    x = 6,416.26

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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.