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Finding the Fourth Proportional to 10,801.05, 16,203.32 and 4,562

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Solution

The fourth proportional to 10,801.05, 16,203.32 and 4,562 is: 6,843.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,801.05 : 16,203.32 = 4,562 : x
  2. Step 2: Convert to fraction form
    10,801.05/16,203.32 = 4,562/x
  3. Step 3: Cross multiply
    10,801.05x = 16,203.32 × 4,562
  4. Step 4: Simplify right side
    10,801.05x = 73,919,545.84
  5. Step 5: Solve for x
    x = 73,919,545.84/10,801.05
  6. Step 6: Final answer
    x = 6,843.74

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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.