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Finding the Fourth Proportional to 11,978.25, 17,960.41 and 4,583.22

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Solution

The fourth proportional to 11,978.25, 17,960.41 and 4,583.22 is: 6,872.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,978.25 : 17,960.41 = 4,583.22 : x
  2. Step 2: Convert to fraction form
    11,978.25/17,960.41 = 4,583.22/x
  3. Step 3: Cross multiply
    11,978.25x = 17,960.41 × 4,583.22
  4. Step 4: Simplify right side
    11,978.25x = 82,316,510.32
  5. Step 5: Solve for x
    x = 82,316,510.32/11,978.25
  6. Step 6: Final answer
    x = 6,872.16

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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.