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Finding the Fourth Proportional to 8,689.84, 11,989.16 and 4,912.64

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Solution

The fourth proportional to 8,689.84, 11,989.16 and 4,912.64 is: 6,777.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,689.84 : 11,989.16 = 4,912.64 : x
  2. Step 2: Convert to fraction form
    8,689.84/11,989.16 = 4,912.64/x
  3. Step 3: Cross multiply
    8,689.84x = 11,989.16 × 4,912.64
  4. Step 4: Simplify right side
    8,689.84x = 58,898,426.98
  5. Step 5: Solve for x
    x = 58,898,426.98/8,689.84
  6. Step 6: Final answer
    x = 6,777.85

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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.