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Finding the Fourth Proportional to 7,847.28, 11,774.16 and 2,654.64

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Solution

The fourth proportional to 7,847.28, 11,774.16 and 2,654.64 is: 3,983.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,847.28 : 11,774.16 = 2,654.64 : x
  2. Step 2: Convert to fraction form
    7,847.28/11,774.16 = 2,654.64/x
  3. Step 3: Cross multiply
    7,847.28x = 11,774.16 × 2,654.64
  4. Step 4: Simplify right side
    7,847.28x = 31,256,156.10
  5. Step 5: Solve for x
    x = 31,256,156.10/7,847.28
  6. Step 6: Final answer
    x = 3,983.06

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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.