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Finding the Fourth Proportional to 7,447.44, 11,178.36 and 5,675.88

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Solution

The fourth proportional to 7,447.44, 11,178.36 and 5,675.88 is: 8,519.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,447.44 : 11,178.36 = 5,675.88 : x
  2. Step 2: Convert to fraction form
    7,447.44/11,178.36 = 5,675.88/x
  3. Step 3: Cross multiply
    7,447.44x = 11,178.36 × 5,675.88
  4. Step 4: Simplify right side
    7,447.44x = 63,447,029.96
  5. Step 5: Solve for x
    x = 63,447,029.96/7,447.44
  6. Step 6: Final answer
    x = 8,519.31

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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.