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Finding the Fourth Proportional to 6,802.57, 10,190.01 and 6,235.57

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Solution

The fourth proportional to 6,802.57, 10,190.01 and 6,235.57 is: 9,340.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,802.57 : 10,190.01 = 6,235.57 : x
  2. Step 2: Convert to fraction form
    6,802.57/10,190.01 = 6,235.57/x
  3. Step 3: Cross multiply
    6,802.57x = 10,190.01 × 6,235.57
  4. Step 4: Simplify right side
    6,802.57x = 63,540,489.48
  5. Step 5: Solve for x
    x = 63,540,489.48/6,802.57
  6. Step 6: Final answer
    x = 9,340.66

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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.