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Finding the Fourth Proportional to 8,611.68, 11,881.06 and 5,629.24

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Solution

The fourth proportional to 8,611.68, 11,881.06 and 5,629.24 is: 7,766.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,611.68 : 11,881.06 = 5,629.24 : x
  2. Step 2: Convert to fraction form
    8,611.68/11,881.06 = 5,629.24/x
  3. Step 3: Cross multiply
    8,611.68x = 11,881.06 × 5,629.24
  4. Step 4: Simplify right side
    8,611.68x = 66,881,338.19
  5. Step 5: Solve for x
    x = 66,881,338.19/8,611.68
  6. Step 6: Final answer
    x = 7,766.35

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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.