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Finding the Fourth Proportional to 7,718.84, 11,576.16 and 2,171.84

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Solution

The fourth proportional to 7,718.84, 11,576.16 and 2,171.84 is: 3,257.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,718.84 : 11,576.16 = 2,171.84 : x
  2. Step 2: Convert to fraction form
    7,718.84/11,576.16 = 2,171.84/x
  3. Step 3: Cross multiply
    7,718.84x = 11,576.16 × 2,171.84
  4. Step 4: Simplify right side
    7,718.84x = 25,141,567.33
  5. Step 5: Solve for x
    x = 25,141,567.33/7,718.84
  6. Step 6: Final answer
    x = 3,257.17

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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.