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Finding the Fourth Proportional to 7,411.68, 10,228.11 and 5,524.92

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Solution

The fourth proportional to 7,411.68, 10,228.11 and 5,524.92 is: 7,624.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,411.68 : 10,228.11 = 5,524.92 : x
  2. Step 2: Convert to fraction form
    7,411.68/10,228.11 = 5,524.92/x
  3. Step 3: Cross multiply
    7,411.68x = 10,228.11 × 5,524.92
  4. Step 4: Simplify right side
    7,411.68x = 56,509,489.50
  5. Step 5: Solve for x
    x = 56,509,489.50/7,411.68
  6. Step 6: Final answer
    x = 7,624.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.