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Finding the Fourth Proportional to 6,711.34, 10,066.74 and 3,424.36

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Solution

The fourth proportional to 6,711.34, 10,066.74 and 3,424.36 is: 5,136.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,711.34 : 10,066.74 = 3,424.36 : x
  2. Step 2: Convert to fraction form
    6,711.34/10,066.74 = 3,424.36/x
  3. Step 3: Cross multiply
    6,711.34x = 10,066.74 × 3,424.36
  4. Step 4: Simplify right side
    6,711.34x = 34,472,141.79
  5. Step 5: Solve for x
    x = 34,472,141.79/6,711.34
  6. Step 6: Final answer
    x = 5,136.40

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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.