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Finding the Fourth Proportional to 7,647.16, 11,473.44 and 3,753.76

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Solution

The fourth proportional to 7,647.16, 11,473.44 and 3,753.76 is: 5,631.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,647.16 : 11,473.44 = 3,753.76 : x
  2. Step 2: Convert to fraction form
    7,647.16/11,473.44 = 3,753.76/x
  3. Step 3: Cross multiply
    7,647.16x = 11,473.44 × 3,753.76
  4. Step 4: Simplify right side
    7,647.16x = 43,068,540.13
  5. Step 5: Solve for x
    x = 43,068,540.13/7,647.16
  6. Step 6: Final answer
    x = 5,631.97

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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.