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Finding the Fourth Proportional to 10,687.91, 14,748.27 and 6,211.59

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Solution

The fourth proportional to 10,687.91, 14,748.27 and 6,211.59 is: 8,571.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,687.91 : 14,748.27 = 6,211.59 : x
  2. Step 2: Convert to fraction form
    10,687.91/14,748.27 = 6,211.59/x
  3. Step 3: Cross multiply
    10,687.91x = 14,748.27 × 6,211.59
  4. Step 4: Simplify right side
    10,687.91x = 91,610,206.45
  5. Step 5: Solve for x
    x = 91,610,206.45/10,687.91
  6. Step 6: Final answer
    x = 8,571.39

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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.