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Finding the Fourth Proportional to 11,756.46, 16,224.21 and 6,451.38

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Solution

The fourth proportional to 11,756.46, 16,224.21 and 6,451.38 is: 8,903.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,756.46 : 16,224.21 = 6,451.38 : x
  2. Step 2: Convert to fraction form
    11,756.46/16,224.21 = 6,451.38/x
  3. Step 3: Cross multiply
    11,756.46x = 16,224.21 × 6,451.38
  4. Step 4: Simplify right side
    11,756.46x = 104,668,543.91
  5. Step 5: Solve for x
    x = 104,668,543.91/11,756.46
  6. Step 6: Final answer
    x = 8,903.07

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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.