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Finding the Fourth Proportional to 8,257.46, 11,395.44 and 4,720.46

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Solution

The fourth proportional to 8,257.46, 11,395.44 and 4,720.46 is: 6,514.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,257.46 : 11,395.44 = 4,720.46 : x
  2. Step 2: Convert to fraction form
    8,257.46/11,395.44 = 4,720.46/x
  3. Step 3: Cross multiply
    8,257.46x = 11,395.44 × 4,720.46
  4. Step 4: Simplify right side
    8,257.46x = 53,791,661.73
  5. Step 5: Solve for x
    x = 53,791,661.73/8,257.46
  6. Step 6: Final answer
    x = 6,514.31

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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.