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Finding the Fourth Proportional to 7,663.44, 11,494.88 and 2,469.46

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Solution

The fourth proportional to 7,663.44, 11,494.88 and 2,469.46 is: 3,704.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,663.44 : 11,494.88 = 2,469.46 : x
  2. Step 2: Convert to fraction form
    7,663.44/11,494.88 = 2,469.46/x
  3. Step 3: Cross multiply
    7,663.44x = 11,494.88 × 2,469.46
  4. Step 4: Simplify right side
    7,663.44x = 28,386,146.36
  5. Step 5: Solve for x
    x = 28,386,146.36/7,663.44
  6. Step 6: Final answer
    x = 3,704.10

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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.