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Finding the Fourth Proportional to 8,117.79, 12,177 and 2,274.26

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Solution

The fourth proportional to 8,117.79, 12,177 and 2,274.26 is: 3,411.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,117.79 : 12,177 = 2,274.26 : x
  2. Step 2: Convert to fraction form
    8,117.79/12,177 = 2,274.26/x
  3. Step 3: Cross multiply
    8,117.79x = 12,177 × 2,274.26
  4. Step 4: Simplify right side
    8,117.79x = 27,693,603.14
  5. Step 5: Solve for x
    x = 27,693,603.14/8,117.79
  6. Step 6: Final answer
    x = 3,411.47

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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.