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Finding the Fourth Proportional to 8,510.85, 11,744.87 and 4,734

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Solution

The fourth proportional to 8,510.85, 11,744.87 and 4,734 is: 6,532.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,510.85 : 11,744.87 = 4,734 : x
  2. Step 2: Convert to fraction form
    8,510.85/11,744.87 = 4,734/x
  3. Step 3: Cross multiply
    8,510.85x = 11,744.87 × 4,734
  4. Step 4: Simplify right side
    8,510.85x = 55,600,190.91
  5. Step 5: Solve for x
    x = 55,600,190.91/8,510.85
  6. Step 6: Final answer
    x = 6,532.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.