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Finding the Fourth Proportional to 11,717.65, 17,574.65 and 4,318.30

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Solution

The fourth proportional to 11,717.65, 17,574.65 and 4,318.30 is: 6,476.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,717.65 : 17,574.65 = 4,318.30 : x
  2. Step 2: Convert to fraction form
    11,717.65/17,574.65 = 4,318.30/x
  3. Step 3: Cross multiply
    11,717.65x = 17,574.65 × 4,318.30
  4. Step 4: Simplify right side
    11,717.65x = 75,892,611.10
  5. Step 5: Solve for x
    x = 75,892,611.10/11,717.65
  6. Step 6: Final answer
    x = 6,476.78

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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.