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Finding the Fourth Proportional to 8,297.84, 11,451.04 and 4,521.06

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Solution

The fourth proportional to 8,297.84, 11,451.04 and 4,521.06 is: 6,239.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,297.84 : 11,451.04 = 4,521.06 : x
  2. Step 2: Convert to fraction form
    8,297.84/11,451.04 = 4,521.06/x
  3. Step 3: Cross multiply
    8,297.84x = 11,451.04 × 4,521.06
  4. Step 4: Simplify right side
    8,297.84x = 51,770,838.90
  5. Step 5: Solve for x
    x = 51,770,838.90/8,297.84
  6. Step 6: Final answer
    x = 6,239.07

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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.