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Finding the Fourth Proportional to 6,803.15, 10,210.19 and 3,517.20

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Solution

The fourth proportional to 6,803.15, 10,210.19 and 3,517.20 is: 5,278.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,803.15 : 10,210.19 = 3,517.20 : x
  2. Step 2: Convert to fraction form
    6,803.15/10,210.19 = 3,517.20/x
  3. Step 3: Cross multiply
    6,803.15x = 10,210.19 × 3,517.20
  4. Step 4: Simplify right side
    6,803.15x = 35,911,280.27
  5. Step 5: Solve for x
    x = 35,911,280.27/6,803.15
  6. Step 6: Final answer
    x = 5,278.63

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Why These Related Problems?

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