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Finding the Fourth Proportional to 11,536.93, 15,920.98 and 6,231.75

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Solution

The fourth proportional to 11,536.93, 15,920.98 and 6,231.75 is: 8,599.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,536.93 : 15,920.98 = 6,231.75 : x
  2. Step 2: Convert to fraction form
    11,536.93/15,920.98 = 6,231.75/x
  3. Step 3: Cross multiply
    11,536.93x = 15,920.98 × 6,231.75
  4. Step 4: Simplify right side
    11,536.93x = 99,215,581.39
  5. Step 5: Solve for x
    x = 99,215,581.39/11,536.93
  6. Step 6: Final answer
    x = 8,599.82

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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.