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Finding the Fourth Proportional to 6,803.16, 10,204.92 and 3,514.20

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Solution

The fourth proportional to 6,803.16, 10,204.92 and 3,514.20 is: 5,271.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,803.16 : 10,204.92 = 3,514.20 : x
  2. Step 2: Convert to fraction form
    6,803.16/10,204.92 = 3,514.20/x
  3. Step 3: Cross multiply
    6,803.16x = 10,204.92 × 3,514.20
  4. Step 4: Simplify right side
    6,803.16x = 35,862,129.86
  5. Step 5: Solve for x
    x = 35,862,129.86/6,803.16
  6. Step 6: Final answer
    x = 5,271.39

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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.