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Finding the Fourth Proportional to 11,536.84, 15,920.91 and 6,759.61

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Solution

The fourth proportional to 11,536.84, 15,920.91 and 6,759.61 is: 9,328.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,536.84 : 15,920.91 = 6,759.61 : x
  2. Step 2: Convert to fraction form
    11,536.84/15,920.91 = 6,759.61/x
  3. Step 3: Cross multiply
    11,536.84x = 15,920.91 × 6,759.61
  4. Step 4: Simplify right side
    11,536.84x = 107,619,029.04
  5. Step 5: Solve for x
    x = 107,619,029.04/11,536.84
  6. Step 6: Final answer
    x = 9,328.30

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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.