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Finding the Fourth Proportional to 8,046.69, 11,099.84 and 4,689.14

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Solution

The fourth proportional to 8,046.69, 11,099.84 and 4,689.14 is: 6,468.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,046.69 : 11,099.84 = 4,689.14 : x
  2. Step 2: Convert to fraction form
    8,046.69/11,099.84 = 4,689.14/x
  3. Step 3: Cross multiply
    8,046.69x = 11,099.84 × 4,689.14
  4. Step 4: Simplify right side
    8,046.69x = 52,048,687.23
  5. Step 5: Solve for x
    x = 52,048,687.23/8,046.69
  6. Step 6: Final answer
    x = 6,468.33

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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.