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Finding the Fourth Proportional to 10,512.90, 15,769.71 and 3,586.50

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Solution

The fourth proportional to 10,512.90, 15,769.71 and 3,586.50 is: 5,379.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,512.90 : 15,769.71 = 3,586.50 : x
  2. Step 2: Convert to fraction form
    10,512.90/15,769.71 = 3,586.50/x
  3. Step 3: Cross multiply
    10,512.90x = 15,769.71 × 3,586.50
  4. Step 4: Simplify right side
    10,512.90x = 56,558,064.92
  5. Step 5: Solve for x
    x = 56,558,064.92/10,512.90
  6. Step 6: Final answer
    x = 5,379.87

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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.