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Finding the Fourth Proportional to 10,874.88, 16,314.48 and 4,634.82

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Solution

The fourth proportional to 10,874.88, 16,314.48 and 4,634.82 is: 6,953.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,874.88 : 16,314.48 = 4,634.82 : x
  2. Step 2: Convert to fraction form
    10,874.88/16,314.48 = 4,634.82/x
  3. Step 3: Cross multiply
    10,874.88x = 16,314.48 × 4,634.82
  4. Step 4: Simplify right side
    10,874.88x = 75,614,678.19
  5. Step 5: Solve for x
    x = 75,614,678.19/10,874.88
  6. Step 6: Final answer
    x = 6,953.15

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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.