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Finding the Fourth Proportional to 8,633.28, 11,913.84 and 4,856.46

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Solution

The fourth proportional to 8,633.28, 11,913.84 and 4,856.46 is: 6,701.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,633.28 : 11,913.84 = 4,856.46 : x
  2. Step 2: Convert to fraction form
    8,633.28/11,913.84 = 4,856.46/x
  3. Step 3: Cross multiply
    8,633.28x = 11,913.84 × 4,856.46
  4. Step 4: Simplify right side
    8,633.28x = 57,859,087.41
  5. Step 5: Solve for x
    x = 57,859,087.41/8,633.28
  6. Step 6: Final answer
    x = 6,701.87

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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.