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Finding the Fourth Proportional to 10,806.88, 14,913.49 and 5,838.88

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Solution

The fourth proportional to 10,806.88, 14,913.49 and 5,838.88 is: 8,057.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,806.88 : 14,913.49 = 5,838.88 : x
  2. Step 2: Convert to fraction form
    10,806.88/14,913.49 = 5,838.88/x
  3. Step 3: Cross multiply
    10,806.88x = 14,913.49 × 5,838.88
  4. Step 4: Simplify right side
    10,806.88x = 87,078,003.92
  5. Step 5: Solve for x
    x = 87,078,003.92/10,806.88
  6. Step 6: Final answer
    x = 8,057.65

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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.