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Finding the Fourth Proportional to 7,151.85, 10,706.93 and 5,311.13

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Solution

The fourth proportional to 7,151.85, 10,706.93 and 5,311.13 is: 7,951.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,151.85 : 10,706.93 = 5,311.13 : x
  2. Step 2: Convert to fraction form
    7,151.85/10,706.93 = 5,311.13/x
  3. Step 3: Cross multiply
    7,151.85x = 10,706.93 × 5,311.13
  4. Step 4: Simplify right side
    7,151.85x = 56,865,817.04
  5. Step 5: Solve for x
    x = 56,865,817.04/7,151.85
  6. Step 6: Final answer
    x = 7,951.20

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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.