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Finding the Fourth Proportional to 11,872.22, 17,802.74 and 6,943.36

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Solution

The fourth proportional to 11,872.22, 17,802.74 and 6,943.36 is: 10,411.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,872.22 : 17,802.74 = 6,943.36 : x
  2. Step 2: Convert to fraction form
    11,872.22/17,802.74 = 6,943.36/x
  3. Step 3: Cross multiply
    11,872.22x = 17,802.74 × 6,943.36
  4. Step 4: Simplify right side
    11,872.22x = 123,610,832.81
  5. Step 5: Solve for x
    x = 123,610,832.81/11,872.22
  6. Step 6: Final answer
    x = 10,411.77

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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.