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Finding the Fourth Proportional to 8,244.77, 11,377.38 and 4,659.80

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Solution

The fourth proportional to 8,244.77, 11,377.38 and 4,659.80 is: 6,430.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,244.77 : 11,377.38 = 4,659.80 : x
  2. Step 2: Convert to fraction form
    8,244.77/11,377.38 = 4,659.80/x
  3. Step 3: Cross multiply
    8,244.77x = 11,377.38 × 4,659.80
  4. Step 4: Simplify right side
    8,244.77x = 53,016,315.32
  5. Step 5: Solve for x
    x = 53,016,315.32/8,244.77
  6. Step 6: Final answer
    x = 6,430.30

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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.