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Finding the Fourth Proportional to 7,211.60, 10,809.96 and 5,232.30

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Solution

The fourth proportional to 7,211.60, 10,809.96 and 5,232.30 is: 7,843.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,211.60 : 10,809.96 = 5,232.30 : x
  2. Step 2: Convert to fraction form
    7,211.60/10,809.96 = 5,232.30/x
  3. Step 3: Cross multiply
    7,211.60x = 10,809.96 × 5,232.30
  4. Step 4: Simplify right side
    7,211.60x = 56,560,953.71
  5. Step 5: Solve for x
    x = 56,560,953.71/7,211.60
  6. Step 6: Final answer
    x = 7,843.06

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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.