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Finding the Fourth Proportional to 11,802.31, 17,714.41 and 5,963.02

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Solution

The fourth proportional to 11,802.31, 17,714.41 and 5,963.02 is: 8,950.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,802.31 : 17,714.41 = 5,963.02 : x
  2. Step 2: Convert to fraction form
    11,802.31/17,714.41 = 5,963.02/x
  3. Step 3: Cross multiply
    11,802.31x = 17,714.41 × 5,963.02
  4. Step 4: Simplify right side
    11,802.31x = 105,631,277.64
  5. Step 5: Solve for x
    x = 105,631,277.64/11,802.31
  6. Step 6: Final answer
    x = 8,950.05

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Why These Related Problems?

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