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Finding the Fourth Proportional to 11,315.69, 15,614.95 and 6,836.80

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Solution

The fourth proportional to 11,315.69, 15,614.95 and 6,836.80 is: 9,434.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,315.69 : 15,614.95 = 6,836.80 : x
  2. Step 2: Convert to fraction form
    11,315.69/15,614.95 = 6,836.80/x
  3. Step 3: Cross multiply
    11,315.69x = 15,614.95 × 6,836.80
  4. Step 4: Simplify right side
    11,315.69x = 106,756,290.16
  5. Step 5: Solve for x
    x = 106,756,290.16/11,315.69
  6. Step 6: Final answer
    x = 9,434.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.