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Finding the Fourth Proportional to 11,753.76, 16,234.44 and 8,562

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Solution

The fourth proportional to 11,753.76, 16,234.44 and 8,562 is: 11,825.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,753.76 : 16,234.44 = 8,562 : x
  2. Step 2: Convert to fraction form
    11,753.76/16,234.44 = 8,562/x
  3. Step 3: Cross multiply
    11,753.76x = 16,234.44 × 8,562
  4. Step 4: Simplify right side
    11,753.76x = 138,999,275.28
  5. Step 5: Solve for x
    x = 138,999,275.28/11,753.76
  6. Step 6: Final answer
    x = 11,825.94

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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.