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Finding the Fourth Proportional to 7,005.44, 10,505.76 and 3,495.44

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Solution

The fourth proportional to 7,005.44, 10,505.76 and 3,495.44 is: 5,241.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,005.44 : 10,505.76 = 3,495.44 : x
  2. Step 2: Convert to fraction form
    7,005.44/10,505.76 = 3,495.44/x
  3. Step 3: Cross multiply
    7,005.44x = 10,505.76 × 3,495.44
  4. Step 4: Simplify right side
    7,005.44x = 36,722,253.73
  5. Step 5: Solve for x
    x = 36,722,253.73/7,005.44
  6. Step 6: Final answer
    x = 5,241.96

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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.