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Finding the Fourth Proportional to 6,821.99, 10,218.13 and 4,181.50

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Solution

The fourth proportional to 6,821.99, 10,218.13 and 4,181.50 is: 6,263.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,821.99 : 10,218.13 = 4,181.50 : x
  2. Step 2: Convert to fraction form
    6,821.99/10,218.13 = 4,181.50/x
  3. Step 3: Cross multiply
    6,821.99x = 10,218.13 × 4,181.50
  4. Step 4: Simplify right side
    6,821.99x = 42,727,074.60
  5. Step 5: Solve for x
    x = 42,727,074.60/6,821.99
  6. Step 6: Final answer
    x = 6,263.14

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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.