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Finding the Fourth Proportional to 8,275.38, 11,420.26 and 4,739.74

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Solution

The fourth proportional to 8,275.38, 11,420.26 and 4,739.74 is: 6,540.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,275.38 : 11,420.26 = 4,739.74 : x
  2. Step 2: Convert to fraction form
    8,275.38/11,420.26 = 4,739.74/x
  3. Step 3: Cross multiply
    8,275.38x = 11,420.26 × 4,739.74
  4. Step 4: Simplify right side
    8,275.38x = 54,129,063.13
  5. Step 5: Solve for x
    x = 54,129,063.13/8,275.38
  6. Step 6: Final answer
    x = 6,540.98

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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.