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Finding the Fourth Proportional to 10,789.50, 16,188.12 and 4,220.40

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Solution

The fourth proportional to 10,789.50, 16,188.12 and 4,220.40 is: 6,332.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,789.50 : 16,188.12 = 4,220.40 : x
  2. Step 2: Convert to fraction form
    10,789.50/16,188.12 = 4,220.40/x
  3. Step 3: Cross multiply
    10,789.50x = 16,188.12 × 4,220.40
  4. Step 4: Simplify right side
    10,789.50x = 68,320,341.65
  5. Step 5: Solve for x
    x = 68,320,341.65/10,789.50
  6. Step 6: Final answer
    x = 6,332.11

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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.