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Finding the Fourth Proportional to 7,288.32, 10,930.34 and 2,845

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Solution

The fourth proportional to 7,288.32, 10,930.34 and 2,845 is: 4,266.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,288.32 : 10,930.34 = 2,845 : x
  2. Step 2: Convert to fraction form
    7,288.32/10,930.34 = 2,845/x
  3. Step 3: Cross multiply
    7,288.32x = 10,930.34 × 2,845
  4. Step 4: Simplify right side
    7,288.32x = 31,096,817.30
  5. Step 5: Solve for x
    x = 31,096,817.30/7,288.32
  6. Step 6: Final answer
    x = 4,266.66

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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.