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Finding the Fourth Proportional to 8,382.74, 11,570.26 and 4,848

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Solution

The fourth proportional to 8,382.74, 11,570.26 and 4,848 is: 6,691.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,382.74 : 11,570.26 = 4,848 : x
  2. Step 2: Convert to fraction form
    8,382.74/11,570.26 = 4,848/x
  3. Step 3: Cross multiply
    8,382.74x = 11,570.26 × 4,848
  4. Step 4: Simplify right side
    8,382.74x = 56,092,620.48
  5. Step 5: Solve for x
    x = 56,092,620.48/8,382.74
  6. Step 6: Final answer
    x = 6,691.44

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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.