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Finding the Fourth Proportional to 10,806.38, 14,912.80 and 6,090.83

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Solution

The fourth proportional to 10,806.38, 14,912.80 and 6,090.83 is: 8,405.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,806.38 : 14,912.80 = 6,090.83 : x
  2. Step 2: Convert to fraction form
    10,806.38/14,912.80 = 6,090.83/x
  3. Step 3: Cross multiply
    10,806.38x = 14,912.80 × 6,090.83
  4. Step 4: Simplify right side
    10,806.38x = 90,831,255.06
  5. Step 5: Solve for x
    x = 90,831,255.06/10,806.38
  6. Step 6: Final answer
    x = 8,405.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.