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Finding the Fourth Proportional to 10,806.32, 14,912.83 and 6,090.60

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Solution

The fourth proportional to 10,806.32, 14,912.83 and 6,090.60 is: 8,405.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,806.32 : 14,912.83 = 6,090.60 : x
  2. Step 2: Convert to fraction form
    10,806.32/14,912.83 = 6,090.60/x
  3. Step 3: Cross multiply
    10,806.32x = 14,912.83 × 6,090.60
  4. Step 4: Simplify right side
    10,806.32x = 90,828,034.09
  5. Step 5: Solve for x
    x = 90,828,034.09/10,806.32
  6. Step 6: Final answer
    x = 8,405.09

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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.