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Finding the Fourth Proportional to 6,814.01, 10,215.43 and 3,528.04

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Solution

The fourth proportional to 6,814.01, 10,215.43 and 3,528.04 is: 5,289.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,814.01 : 10,215.43 = 3,528.04 : x
  2. Step 2: Convert to fraction form
    6,814.01/10,215.43 = 3,528.04/x
  3. Step 3: Cross multiply
    6,814.01x = 10,215.43 × 3,528.04
  4. Step 4: Simplify right side
    6,814.01x = 36,040,445.66
  5. Step 5: Solve for x
    x = 36,040,445.66/6,814.01
  6. Step 6: Final answer
    x = 5,289.17

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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.