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Finding the Fourth Proportional to 7,508.28, 11,264.10 and 2,314.68

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Solution

The fourth proportional to 7,508.28, 11,264.10 and 2,314.68 is: 3,472.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,508.28 : 11,264.10 = 2,314.68 : x
  2. Step 2: Convert to fraction form
    7,508.28/11,264.10 = 2,314.68/x
  3. Step 3: Cross multiply
    7,508.28x = 11,264.10 × 2,314.68
  4. Step 4: Simplify right side
    7,508.28x = 26,072,786.99
  5. Step 5: Solve for x
    x = 26,072,786.99/7,508.28
  6. Step 6: Final answer
    x = 3,472.54

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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.