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Finding the Fourth Proportional to 8,233.16, 11,361.77 and 4,696.28

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Solution

The fourth proportional to 8,233.16, 11,361.77 and 4,696.28 is: 6,480.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,233.16 : 11,361.77 = 4,696.28 : x
  2. Step 2: Convert to fraction form
    8,233.16/11,361.77 = 4,696.28/x
  3. Step 3: Cross multiply
    8,233.16x = 11,361.77 × 4,696.28
  4. Step 4: Simplify right side
    8,233.16x = 53,358,008.15
  5. Step 5: Solve for x
    x = 53,358,008.15/8,233.16
  6. Step 6: Final answer
    x = 6,480.87

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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.