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Finding the Fourth Proportional to 11,536.74, 15,920.85 and 6,820.98

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Solution

The fourth proportional to 11,536.74, 15,920.85 and 6,820.98 is: 9,413.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,536.74 : 15,920.85 = 6,820.98 : x
  2. Step 2: Convert to fraction form
    11,536.74/15,920.85 = 6,820.98/x
  3. Step 3: Cross multiply
    11,536.74x = 15,920.85 × 6,820.98
  4. Step 4: Simplify right side
    11,536.74x = 108,595,799.43
  5. Step 5: Solve for x
    x = 108,595,799.43/11,536.74
  6. Step 6: Final answer
    x = 9,413.04

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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.