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Finding the Fourth Proportional to 7,647.96, 11,472.75 and 2,718.06

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Solution

The fourth proportional to 7,647.96, 11,472.75 and 2,718.06 is: 4,077.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,647.96 : 11,472.75 = 2,718.06 : x
  2. Step 2: Convert to fraction form
    7,647.96/11,472.75 = 2,718.06/x
  3. Step 3: Cross multiply
    7,647.96x = 11,472.75 × 2,718.06
  4. Step 4: Simplify right side
    7,647.96x = 31,183,622.87
  5. Step 5: Solve for x
    x = 31,183,622.87/7,647.96
  6. Step 6: Final answer
    x = 4,077.38

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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.