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Finding the Fourth Proportional to 7,645.49, 11,468.23 and 2,098.86

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Solution

The fourth proportional to 7,645.49, 11,468.23 and 2,098.86 is: 3,148.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,645.49 : 11,468.23 = 2,098.86 : x
  2. Step 2: Convert to fraction form
    7,645.49/11,468.23 = 2,098.86/x
  3. Step 3: Cross multiply
    7,645.49x = 11,468.23 × 2,098.86
  4. Step 4: Simplify right side
    7,645.49x = 24,070,237.28
  5. Step 5: Solve for x
    x = 24,070,237.28/7,645.49
  6. Step 6: Final answer
    x = 3,148.29

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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.