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Finding the Fourth Proportional to 8,257.62, 11,395.87 and 4,720.83

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Solution

The fourth proportional to 8,257.62, 11,395.87 and 4,720.83 is: 6,514.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,257.62 : 11,395.87 = 4,720.83 : x
  2. Step 2: Convert to fraction form
    8,257.62/11,395.87 = 4,720.83/x
  3. Step 3: Cross multiply
    8,257.62x = 11,395.87 × 4,720.83
  4. Step 4: Simplify right side
    8,257.62x = 53,797,941.37
  5. Step 5: Solve for x
    x = 53,797,941.37/8,257.62
  6. Step 6: Final answer
    x = 6,514.95

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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.