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Finding the Fourth Proportional to 7,264.16, 10,892 and 3,363.68

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Solution

The fourth proportional to 7,264.16, 10,892 and 3,363.68 is: 5,043.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,264.16 : 10,892 = 3,363.68 : x
  2. Step 2: Convert to fraction form
    7,264.16/10,892 = 3,363.68/x
  3. Step 3: Cross multiply
    7,264.16x = 10,892 × 3,363.68
  4. Step 4: Simplify right side
    7,264.16x = 36,637,202.56
  5. Step 5: Solve for x
    x = 36,637,202.56/7,264.16
  6. Step 6: Final answer
    x = 5,043.56

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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.