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Finding the Fourth Proportional to 6,806.32, 10,189.67 and 5,059.08

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Solution

The fourth proportional to 6,806.32, 10,189.67 and 5,059.08 is: 7,573.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,806.32 : 10,189.67 = 5,059.08 : x
  2. Step 2: Convert to fraction form
    6,806.32/10,189.67 = 5,059.08/x
  3. Step 3: Cross multiply
    6,806.32x = 10,189.67 × 5,059.08
  4. Step 4: Simplify right side
    6,806.32x = 51,550,330.41
  5. Step 5: Solve for x
    x = 51,550,330.41/6,806.32
  6. Step 6: Final answer
    x = 7,573.89

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