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Finding the Fourth Proportional to 8,646.28, 11,915.22 and 6,284.68

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Solution

The fourth proportional to 8,646.28, 11,915.22 and 6,284.68 is: 8,660.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,646.28 : 11,915.22 = 6,284.68 : x
  2. Step 2: Convert to fraction form
    8,646.28/11,915.22 = 6,284.68/x
  3. Step 3: Cross multiply
    8,646.28x = 11,915.22 × 6,284.68
  4. Step 4: Simplify right side
    8,646.28x = 74,883,344.83
  5. Step 5: Solve for x
    x = 74,883,344.83/8,646.28
  6. Step 6: Final answer
    x = 8,660.76

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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.