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Finding the Fourth Proportional to 5,411.52, 8,073 and 5,163.84

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Solution

The fourth proportional to 5,411.52, 8,073 and 5,163.84 is: 7,703.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,411.52 : 8,073 = 5,163.84 : x
  2. Step 2: Convert to fraction form
    5,411.52/8,073 = 5,163.84/x
  3. Step 3: Cross multiply
    5,411.52x = 8,073 × 5,163.84
  4. Step 4: Simplify right side
    5,411.52x = 41,687,680.32
  5. Step 5: Solve for x
    x = 41,687,680.32/5,411.52
  6. Step 6: Final answer
    x = 7,703.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.