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Finding the Fourth Proportional to 6,806.34, 10,189.70 and 5,059.10

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Solution

The fourth proportional to 6,806.34, 10,189.70 and 5,059.10 is: 7,573.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,806.34 : 10,189.70 = 5,059.10 : x
  2. Step 2: Convert to fraction form
    6,806.34/10,189.70 = 5,059.10/x
  3. Step 3: Cross multiply
    6,806.34x = 10,189.70 × 5,059.10
  4. Step 4: Simplify right side
    6,806.34x = 51,550,711.27
  5. Step 5: Solve for x
    x = 51,550,711.27/6,806.34
  6. Step 6: Final answer
    x = 7,573.93

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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.