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Finding the Fourth Proportional to 6,706.58, 10,066.08 and 3,422.12

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Solution

The fourth proportional to 6,706.58, 10,066.08 and 3,422.12 is: 5,136.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706.58 : 10,066.08 = 3,422.12 : x
  2. Step 2: Convert to fraction form
    6,706.58/10,066.08 = 3,422.12/x
  3. Step 3: Cross multiply
    6,706.58x = 10,066.08 × 3,422.12
  4. Step 4: Simplify right side
    6,706.58x = 34,447,333.69
  5. Step 5: Solve for x
    x = 34,447,333.69/6,706.58
  6. Step 6: Final answer
    x = 5,136.35

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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.