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Finding the Fourth Proportional to 8,494.82, 11,722.45 and 4,718.23

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Solution

The fourth proportional to 8,494.82, 11,722.45 and 4,718.23 is: 6,510.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,494.82 : 11,722.45 = 4,718.23 : x
  2. Step 2: Convert to fraction form
    8,494.82/11,722.45 = 4,718.23/x
  3. Step 3: Cross multiply
    8,494.82x = 11,722.45 × 4,718.23
  4. Step 4: Simplify right side
    8,494.82x = 55,309,215.26
  5. Step 5: Solve for x
    x = 55,309,215.26/8,494.82
  6. Step 6: Final answer
    x = 6,510.93

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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.