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Finding the Fourth Proportional to 7,647.95, 11,471.94 and 2,717.58

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Solution

The fourth proportional to 7,647.95, 11,471.94 and 2,717.58 is: 4,076.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,647.95 : 11,471.94 = 2,717.58 : x
  2. Step 2: Convert to fraction form
    7,647.95/11,471.94 = 2,717.58/x
  3. Step 3: Cross multiply
    7,647.95x = 11,471.94 × 2,717.58
  4. Step 4: Simplify right side
    7,647.95x = 31,175,901.12
  5. Step 5: Solve for x
    x = 31,175,901.12/7,647.95
  6. Step 6: Final answer
    x = 4,076.38

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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.