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Finding the Fourth Proportional to 8,099.51, 12,118.97 and 5,764.89

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Solution

The fourth proportional to 8,099.51, 12,118.97 and 5,764.89 is: 8,625.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,099.51 : 12,118.97 = 5,764.89 : x
  2. Step 2: Convert to fraction form
    8,099.51/12,118.97 = 5,764.89/x
  3. Step 3: Cross multiply
    8,099.51x = 12,118.97 × 5,764.89
  4. Step 4: Simplify right side
    8,099.51x = 69,864,488.22
  5. Step 5: Solve for x
    x = 69,864,488.22/8,099.51
  6. Step 6: Final answer
    x = 8,625.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.