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Finding the Fourth Proportional to 8,536.32, 11,773.80 and 5,884.56

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Solution

The fourth proportional to 8,536.32, 11,773.80 and 5,884.56 is: 8,116.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,536.32 : 11,773.80 = 5,884.56 : x
  2. Step 2: Convert to fraction form
    8,536.32/11,773.80 = 5,884.56/x
  3. Step 3: Cross multiply
    8,536.32x = 11,773.80 × 5,884.56
  4. Step 4: Simplify right side
    8,536.32x = 69,283,632.53
  5. Step 5: Solve for x
    x = 69,283,632.53/8,536.32
  6. Step 6: Final answer
    x = 8,116.33

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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.