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Finding the Fourth Proportional to 10,806.28, 14,913.12 and 6,329.41

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Solution

The fourth proportional to 10,806.28, 14,913.12 and 6,329.41 is: 8,734.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,806.28 : 14,913.12 = 6,329.41 : x
  2. Step 2: Convert to fraction form
    10,806.28/14,913.12 = 6,329.41/x
  3. Step 3: Cross multiply
    10,806.28x = 14,913.12 × 6,329.41
  4. Step 4: Simplify right side
    10,806.28x = 94,391,250.86
  5. Step 5: Solve for x
    x = 94,391,250.86/10,806.28
  6. Step 6: Final answer
    x = 8,734.85

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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.