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Finding the Fourth Proportional to 8,257.74, 11,395.75 and 4,480.91

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Solution

The fourth proportional to 8,257.74, 11,395.75 and 4,480.91 is: 6,183.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,257.74 : 11,395.75 = 4,480.91 : x
  2. Step 2: Convert to fraction form
    8,257.74/11,395.75 = 4,480.91/x
  3. Step 3: Cross multiply
    8,257.74x = 11,395.75 × 4,480.91
  4. Step 4: Simplify right side
    8,257.74x = 51,063,330.13
  5. Step 5: Solve for x
    x = 51,063,330.13/8,257.74
  6. Step 6: Final answer
    x = 6,183.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.