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Finding the Fourth Proportional to 8,492, 11,723.61 and 5,943.68

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Solution

The fourth proportional to 8,492, 11,723.61 and 5,943.68 is: 8,205.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,492 : 11,723.61 = 5,943.68 : x
  2. Step 2: Convert to fraction form
    8,492/11,723.61 = 5,943.68/x
  3. Step 3: Cross multiply
    8,492x = 11,723.61 × 5,943.68
  4. Step 4: Simplify right side
    8,492x = 69,681,386.28
  5. Step 5: Solve for x
    x = 69,681,386.28/8,492
  6. Step 6: Final answer
    x = 8,205.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.