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Finding the Fourth Proportional to 8,418.68, 11,616.54 and 4,881.24

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Solution

The fourth proportional to 8,418.68, 11,616.54 and 4,881.24 is: 6,735.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,418.68 : 11,616.54 = 4,881.24 : x
  2. Step 2: Convert to fraction form
    8,418.68/11,616.54 = 4,881.24/x
  3. Step 3: Cross multiply
    8,418.68x = 11,616.54 × 4,881.24
  4. Step 4: Simplify right side
    8,418.68x = 56,703,119.71
  5. Step 5: Solve for x
    x = 56,703,119.71/8,418.68
  6. Step 6: Final answer
    x = 6,735.39

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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.