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Finding the Fourth Proportional to 11,802.75, 17,707.17 and 4,407.26

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Solution

The fourth proportional to 11,802.75, 17,707.17 and 4,407.26 is: 6,612.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,802.75 : 17,707.17 = 4,407.26 : x
  2. Step 2: Convert to fraction form
    11,802.75/17,707.17 = 4,407.26/x
  3. Step 3: Cross multiply
    11,802.75x = 17,707.17 × 4,407.26
  4. Step 4: Simplify right side
    11,802.75x = 78,040,013.52
  5. Step 5: Solve for x
    x = 78,040,013.52/11,802.75
  6. Step 6: Final answer
    x = 6,612.02

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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.