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Finding the Fourth Proportional to 11,776.48, 16,251.55 and 6,471.30

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Solution

The fourth proportional to 11,776.48, 16,251.55 and 6,471.30 is: 8,930.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,776.48 : 16,251.55 = 6,471.30 : x
  2. Step 2: Convert to fraction form
    11,776.48/16,251.55 = 6,471.30/x
  3. Step 3: Cross multiply
    11,776.48x = 16,251.55 × 6,471.30
  4. Step 4: Simplify right side
    11,776.48x = 105,168,608.92
  5. Step 5: Solve for x
    x = 105,168,608.92/11,776.48
  6. Step 6: Final answer
    x = 8,930.39

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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.