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Finding the Fourth Proportional to 7,471.08, 11,208.60 and 2,277

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Solution

The fourth proportional to 7,471.08, 11,208.60 and 2,277 is: 3,416.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,471.08 : 11,208.60 = 2,277 : x
  2. Step 2: Convert to fraction form
    7,471.08/11,208.60 = 2,277/x
  3. Step 3: Cross multiply
    7,471.08x = 11,208.60 × 2,277
  4. Step 4: Simplify right side
    7,471.08x = 25,521,982.20
  5. Step 5: Solve for x
    x = 25,521,982.20/7,471.08
  6. Step 6: Final answer
    x = 3,416.10

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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.