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Finding the Fourth Proportional to 7,884.28, 11,832.54 and 2,958.40

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Solution

The fourth proportional to 7,884.28, 11,832.54 and 2,958.40 is: 4,439.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884.28 : 11,832.54 = 2,958.40 : x
  2. Step 2: Convert to fraction form
    7,884.28/11,832.54 = 2,958.40/x
  3. Step 3: Cross multiply
    7,884.28x = 11,832.54 × 2,958.40
  4. Step 4: Simplify right side
    7,884.28x = 35,005,386.34
  5. Step 5: Solve for x
    x = 35,005,386.34/7,884.28
  6. Step 6: Final answer
    x = 4,439.90

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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.