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Finding the Fourth Proportional to 8,438.51, 11,634.22 and 5,781.17

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Solution

The fourth proportional to 8,438.51, 11,634.22 and 5,781.17 is: 7,970.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,438.51 : 11,634.22 = 5,781.17 : x
  2. Step 2: Convert to fraction form
    8,438.51/11,634.22 = 5,781.17/x
  3. Step 3: Cross multiply
    8,438.51x = 11,634.22 × 5,781.17
  4. Step 4: Simplify right side
    8,438.51x = 67,259,403.64
  5. Step 5: Solve for x
    x = 67,259,403.64/8,438.51
  6. Step 6: Final answer
    x = 7,970.53

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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.