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Finding the Fourth Proportional to 7,211.60, 10,817.40 and 7,114.40

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Solution

The fourth proportional to 7,211.60, 10,817.40 and 7,114.40 is: 10,671.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,211.60 : 10,817.40 = 7,114.40 : x
  2. Step 2: Convert to fraction form
    7,211.60/10,817.40 = 7,114.40/x
  3. Step 3: Cross multiply
    7,211.60x = 10,817.40 × 7,114.40
  4. Step 4: Simplify right side
    7,211.60x = 76,959,310.56
  5. Step 5: Solve for x
    x = 76,959,310.56/7,211.60
  6. Step 6: Final answer
    x = 10,671.60

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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.