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Finding the Fourth Proportional to 11,245.30, 15,519.45 and 6,209.98

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Solution

The fourth proportional to 11,245.30, 15,519.45 and 6,209.98 is: 8,570.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,245.30 : 15,519.45 = 6,209.98 : x
  2. Step 2: Convert to fraction form
    11,245.30/15,519.45 = 6,209.98/x
  3. Step 3: Cross multiply
    11,245.30x = 15,519.45 × 6,209.98
  4. Step 4: Simplify right side
    11,245.30x = 96,375,474.11
  5. Step 5: Solve for x
    x = 96,375,474.11/11,245.30
  6. Step 6: Final answer
    x = 8,570.29

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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.