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Finding the Fourth Proportional to 7,717.84, 11,560.86 and 5,745.49

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Solution

The fourth proportional to 7,717.84, 11,560.86 and 5,745.49 is: 8,606.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,717.84 : 11,560.86 = 5,745.49 : x
  2. Step 2: Convert to fraction form
    7,717.84/11,560.86 = 5,745.49/x
  3. Step 3: Cross multiply
    7,717.84x = 11,560.86 × 5,745.49
  4. Step 4: Simplify right side
    7,717.84x = 66,422,776.62
  5. Step 5: Solve for x
    x = 66,422,776.62/7,717.84
  6. Step 6: Final answer
    x = 8,606.40

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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.