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Finding the Fourth Proportional to 10,679.56, 14,737.80 and 5,963.84

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Solution

The fourth proportional to 10,679.56, 14,737.80 and 5,963.84 is: 8,230.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,679.56 : 14,737.80 = 5,963.84 : x
  2. Step 2: Convert to fraction form
    10,679.56/14,737.80 = 5,963.84/x
  3. Step 3: Cross multiply
    10,679.56x = 14,737.80 × 5,963.84
  4. Step 4: Simplify right side
    10,679.56x = 87,893,934.45
  5. Step 5: Solve for x
    x = 87,893,934.45/10,679.56
  6. Step 6: Final answer
    x = 8,230.11

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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.