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Finding the Fourth Proportional to 8,427.66, 11,632.48 and 4,892

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Solution

The fourth proportional to 8,427.66, 11,632.48 and 4,892 is: 6,752.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,427.66 : 11,632.48 = 4,892 : x
  2. Step 2: Convert to fraction form
    8,427.66/11,632.48 = 4,892/x
  3. Step 3: Cross multiply
    8,427.66x = 11,632.48 × 4,892
  4. Step 4: Simplify right side
    8,427.66x = 56,906,092.16
  5. Step 5: Solve for x
    x = 56,906,092.16/8,427.66
  6. Step 6: Final answer
    x = 6,752.30

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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.