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Finding the Fourth Proportional to 7,645.93, 11,468.91 and 2,099.35

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Solution

The fourth proportional to 7,645.93, 11,468.91 and 2,099.35 is: 3,149.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,645.93 : 11,468.91 = 2,099.35 : x
  2. Step 2: Convert to fraction form
    7,645.93/11,468.91 = 2,099.35/x
  3. Step 3: Cross multiply
    7,645.93x = 11,468.91 × 2,099.35
  4. Step 4: Simplify right side
    7,645.93x = 24,077,227.54
  5. Step 5: Solve for x
    x = 24,077,227.54/7,645.93
  6. Step 6: Final answer
    x = 3,149.03

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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.