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Finding the Fourth Proportional to 10,806.94, 16,188.72 and 4,955.50

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Solution

The fourth proportional to 10,806.94, 16,188.72 and 4,955.50 is: 7,423.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,806.94 : 16,188.72 = 4,955.50 : x
  2. Step 2: Convert to fraction form
    10,806.94/16,188.72 = 4,955.50/x
  3. Step 3: Cross multiply
    10,806.94x = 16,188.72 × 4,955.50
  4. Step 4: Simplify right side
    10,806.94x = 80,223,201.96
  5. Step 5: Solve for x
    x = 80,223,201.96/10,806.94
  6. Step 6: Final answer
    x = 7,423.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.