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Finding the Fourth Proportional to 6,690.81, 10,045.41 and 3,406.11

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Solution

The fourth proportional to 6,690.81, 10,045.41 and 3,406.11 is: 5,113.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,690.81 : 10,045.41 = 3,406.11 : x
  2. Step 2: Convert to fraction form
    6,690.81/10,045.41 = 3,406.11/x
  3. Step 3: Cross multiply
    6,690.81x = 10,045.41 × 3,406.11
  4. Step 4: Simplify right side
    6,690.81x = 34,215,771.46
  5. Step 5: Solve for x
    x = 34,215,771.46/6,690.81
  6. Step 6: Final answer
    x = 5,113.85

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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.