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Finding the Fourth Proportional to 11,717.69, 17,576.65 and 2,952.61

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Solution

The fourth proportional to 11,717.69, 17,576.65 and 2,952.61 is: 4,428.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,717.69 : 17,576.65 = 2,952.61 : x
  2. Step 2: Convert to fraction form
    11,717.69/17,576.65 = 2,952.61/x
  3. Step 3: Cross multiply
    11,717.69x = 17,576.65 × 2,952.61
  4. Step 4: Simplify right side
    11,717.69x = 51,896,929.66
  5. Step 5: Solve for x
    x = 51,896,929.66/11,717.69
  6. Step 6: Final answer
    x = 4,428.94

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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.