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Finding the Fourth Proportional to 11,802.43, 17,714.60 and 5,963.14

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Solution

The fourth proportional to 11,802.43, 17,714.60 and 5,963.14 is: 8,950.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,802.43 : 17,714.60 = 5,963.14 : x
  2. Step 2: Convert to fraction form
    11,802.43/17,714.60 = 5,963.14/x
  3. Step 3: Cross multiply
    11,802.43x = 17,714.60 × 5,963.14
  4. Step 4: Simplify right side
    11,802.43x = 105,634,639.84
  5. Step 5: Solve for x
    x = 105,634,639.84/11,802.43
  6. Step 6: Final answer
    x = 8,950.24

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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.