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Finding the Fourth Proportional to 7,508, 11,264.16 and 2,313.74

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Solution

The fourth proportional to 7,508, 11,264.16 and 2,313.74 is: 3,471.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,508 : 11,264.16 = 2,313.74 : x
  2. Step 2: Convert to fraction form
    7,508/11,264.16 = 2,313.74/x
  3. Step 3: Cross multiply
    7,508x = 11,264.16 × 2,313.74
  4. Step 4: Simplify right side
    7,508x = 26,062,337.56
  5. Step 5: Solve for x
    x = 26,062,337.56/7,508
  6. Step 6: Final answer
    x = 3,471.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.