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Finding the Fourth Proportional to 8,447.02, 11,650.23 and 7,881.13

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Solution

The fourth proportional to 8,447.02, 11,650.23 and 7,881.13 is: 10,869.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,447.02 : 11,650.23 = 7,881.13 : x
  2. Step 2: Convert to fraction form
    8,447.02/11,650.23 = 7,881.13/x
  3. Step 3: Cross multiply
    8,447.02x = 11,650.23 × 7,881.13
  4. Step 4: Simplify right side
    8,447.02x = 91,816,977.16
  5. Step 5: Solve for x
    x = 91,816,977.16/8,447.02
  6. Step 6: Final answer
    x = 10,869.75

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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.