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Finding the Fourth Proportional to 11,802.56, 17,714.77 and 5,963.27

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Solution

The fourth proportional to 11,802.56, 17,714.77 and 5,963.27 is: 8,950.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,802.56 : 17,714.77 = 5,963.27 : x
  2. Step 2: Convert to fraction form
    11,802.56/17,714.77 = 5,963.27/x
  3. Step 3: Cross multiply
    11,802.56x = 17,714.77 × 5,963.27
  4. Step 4: Simplify right side
    11,802.56x = 105,637,853.02
  5. Step 5: Solve for x
    x = 105,637,853.02/11,802.56
  6. Step 6: Final answer
    x = 8,950.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.