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Finding the Fourth Proportional to 7,137.10, 10,706.67 and 2,207.17

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Solution

The fourth proportional to 7,137.10, 10,706.67 and 2,207.17 is: 3,311.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,137.10 : 10,706.67 = 2,207.17 : x
  2. Step 2: Convert to fraction form
    7,137.10/10,706.67 = 2,207.17/x
  3. Step 3: Cross multiply
    7,137.10x = 10,706.67 × 2,207.17
  4. Step 4: Simplify right side
    7,137.10x = 23,631,440.82
  5. Step 5: Solve for x
    x = 23,631,440.82/7,137.10
  6. Step 6: Final answer
    x = 3,311.07

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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.