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Finding the Fourth Proportional to 7,471.28, 11,208 and 2,276.48

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Solution

The fourth proportional to 7,471.28, 11,208 and 2,276.48 is: 3,415.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,471.28 : 11,208 = 2,276.48 : x
  2. Step 2: Convert to fraction form
    7,471.28/11,208 = 2,276.48/x
  3. Step 3: Cross multiply
    7,471.28x = 11,208 × 2,276.48
  4. Step 4: Simplify right side
    7,471.28x = 25,514,787.84
  5. Step 5: Solve for x
    x = 25,514,787.84/7,471.28
  6. Step 6: Final answer
    x = 3,415.05

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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.