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Finding the Fourth Proportional to 8,906.68, 12,283.16 and 5,716.32

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Solution

The fourth proportional to 8,906.68, 12,283.16 and 5,716.32 is: 7,883.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,906.68 : 12,283.16 = 5,716.32 : x
  2. Step 2: Convert to fraction form
    8,906.68/12,283.16 = 5,716.32/x
  3. Step 3: Cross multiply
    8,906.68x = 12,283.16 × 5,716.32
  4. Step 4: Simplify right side
    8,906.68x = 70,214,473.17
  5. Step 5: Solve for x
    x = 70,214,473.17/8,906.68
  6. Step 6: Final answer
    x = 7,883.35

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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.