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Finding the Fourth Proportional to 8,274.50, 11,418.81 and 5,480

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Solution

The fourth proportional to 8,274.50, 11,418.81 and 5,480 is: 7,562.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,274.50 : 11,418.81 = 5,480 : x
  2. Step 2: Convert to fraction form
    8,274.50/11,418.81 = 5,480/x
  3. Step 3: Cross multiply
    8,274.50x = 11,418.81 × 5,480
  4. Step 4: Simplify right side
    8,274.50x = 62,575,078.80
  5. Step 5: Solve for x
    x = 62,575,078.80/8,274.50
  6. Step 6: Final answer
    x = 7,562.40

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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.