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Finding the Fourth Proportional to 11,802.68, 17,714.94 and 5,963.42

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Solution

The fourth proportional to 11,802.68, 17,714.94 and 5,963.42 is: 8,950.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,802.68 : 17,714.94 = 5,963.42 : x
  2. Step 2: Convert to fraction form
    11,802.68/17,714.94 = 5,963.42/x
  3. Step 3: Cross multiply
    11,802.68x = 17,714.94 × 5,963.42
  4. Step 4: Simplify right side
    11,802.68x = 105,641,627.49
  5. Step 5: Solve for x
    x = 105,641,627.49/11,802.68
  6. Step 6: Final answer
    x = 8,950.65

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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.