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Finding the Fourth Proportional to 11,756.96, 16,224.60 and 6,721.30

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Solution

The fourth proportional to 11,756.96, 16,224.60 and 6,721.30 is: 9,275.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,756.96 : 16,224.60 = 6,721.30 : x
  2. Step 2: Convert to fraction form
    11,756.96/16,224.60 = 6,721.30/x
  3. Step 3: Cross multiply
    11,756.96x = 16,224.60 × 6,721.30
  4. Step 4: Simplify right side
    11,756.96x = 109,050,363.42
  5. Step 5: Solve for x
    x = 109,050,363.42/11,756.96
  6. Step 6: Final answer
    x = 9,275.39

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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.