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Finding the Fourth Proportional to 8,257.96, 11,393.22 and 4,718.68

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Solution

The fourth proportional to 8,257.96, 11,393.22 and 4,718.68 is: 6,510.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,257.96 : 11,393.22 = 4,718.68 : x
  2. Step 2: Convert to fraction form
    8,257.96/11,393.22 = 4,718.68/x
  3. Step 3: Cross multiply
    8,257.96x = 11,393.22 × 4,718.68
  4. Step 4: Simplify right side
    8,257.96x = 53,760,959.35
  5. Step 5: Solve for x
    x = 53,760,959.35/8,257.96
  6. Step 6: Final answer
    x = 6,510.20

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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.