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Finding the Fourth Proportional to 10,806.94, 14,913.58 and 5,838.94

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Solution

The fourth proportional to 10,806.94, 14,913.58 and 5,838.94 is: 8,057.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,806.94 : 14,913.58 = 5,838.94 : x
  2. Step 2: Convert to fraction form
    10,806.94/14,913.58 = 5,838.94/x
  3. Step 3: Cross multiply
    10,806.94x = 14,913.58 × 5,838.94
  4. Step 4: Simplify right side
    10,806.94x = 87,079,446.92
  5. Step 5: Solve for x
    x = 87,079,446.92/10,806.94
  6. Step 6: Final answer
    x = 8,057.74

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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.