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Finding the Fourth Proportional to 7,348.56, 11,023.20 and 2,154

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Solution

The fourth proportional to 7,348.56, 11,023.20 and 2,154 is: 3,231.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,348.56 : 11,023.20 = 2,154 : x
  2. Step 2: Convert to fraction form
    7,348.56/11,023.20 = 2,154/x
  3. Step 3: Cross multiply
    7,348.56x = 11,023.20 × 2,154
  4. Step 4: Simplify right side
    7,348.56x = 23,743,972.80
  5. Step 5: Solve for x
    x = 23,743,972.80/7,348.56
  6. Step 6: Final answer
    x = 3,231.11

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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.