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Finding the Fourth Proportional to 7,353.46, 11,032 and 3,657.44

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Solution

The fourth proportional to 7,353.46, 11,032 and 3,657.44 is: 5,487.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,353.46 : 11,032 = 3,657.44 : x
  2. Step 2: Convert to fraction form
    7,353.46/11,032 = 3,657.44/x
  3. Step 3: Cross multiply
    7,353.46x = 11,032 × 3,657.44
  4. Step 4: Simplify right side
    7,353.46x = 40,348,878.08
  5. Step 5: Solve for x
    x = 40,348,878.08/7,353.46
  6. Step 6: Final answer
    x = 5,487.06

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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.