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Finding the Fourth Proportional to 7,647.68, 11,471.20 and 2,720.32

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Solution

The fourth proportional to 7,647.68, 11,471.20 and 2,720.32 is: 4,080.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,647.68 : 11,471.20 = 2,720.32 : x
  2. Step 2: Convert to fraction form
    7,647.68/11,471.20 = 2,720.32/x
  3. Step 3: Cross multiply
    7,647.68x = 11,471.20 × 2,720.32
  4. Step 4: Simplify right side
    7,647.68x = 31,205,334.78
  5. Step 5: Solve for x
    x = 31,205,334.78/7,647.68
  6. Step 6: Final answer
    x = 4,080.37

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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.