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Finding the Fourth Proportional to 10,874.04, 16,307.46 and 4,207.44

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Solution

The fourth proportional to 10,874.04, 16,307.46 and 4,207.44 is: 6,309.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,874.04 : 16,307.46 = 4,207.44 : x
  2. Step 2: Convert to fraction form
    10,874.04/16,307.46 = 4,207.44/x
  3. Step 3: Cross multiply
    10,874.04x = 16,307.46 × 4,207.44
  4. Step 4: Simplify right side
    10,874.04x = 68,612,659.50
  5. Step 5: Solve for x
    x = 68,612,659.50/10,874.04
  6. Step 6: Final answer
    x = 6,309.77

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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.