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Finding the Fourth Proportional to 10,882, 16,324.16 and 3,483.84

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Solution

The fourth proportional to 10,882, 16,324.16 and 3,483.84 is: 5,226.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,882 : 16,324.16 = 3,483.84 : x
  2. Step 2: Convert to fraction form
    10,882/16,324.16 = 3,483.84/x
  3. Step 3: Cross multiply
    10,882x = 16,324.16 × 3,483.84
  4. Step 4: Simplify right side
    10,882x = 56,870,761.57
  5. Step 5: Solve for x
    x = 56,870,761.57/10,882
  6. Step 6: Final answer
    x = 5,226.13

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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.