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Finding the Fourth Proportional to 7,645.48, 11,468.22 and 2,098.85

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Solution

The fourth proportional to 7,645.48, 11,468.22 and 2,098.85 is: 3,148.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,645.48 : 11,468.22 = 2,098.85 : x
  2. Step 2: Convert to fraction form
    7,645.48/11,468.22 = 2,098.85/x
  3. Step 3: Cross multiply
    7,645.48x = 11,468.22 × 2,098.85
  4. Step 4: Simplify right side
    7,645.48x = 24,070,063.05
  5. Step 5: Solve for x
    x = 24,070,063.05/7,645.48
  6. Step 6: Final answer
    x = 3,148.28

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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.