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Finding the Fourth Proportional to 8,274.66, 11,418.24 and 4,689.78

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Solution

The fourth proportional to 8,274.66, 11,418.24 and 4,689.78 is: 6,471.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,274.66 : 11,418.24 = 4,689.78 : x
  2. Step 2: Convert to fraction form
    8,274.66/11,418.24 = 4,689.78/x
  3. Step 3: Cross multiply
    8,274.66x = 11,418.24 × 4,689.78
  4. Step 4: Simplify right side
    8,274.66x = 53,549,033.59
  5. Step 5: Solve for x
    x = 53,549,033.59/8,274.66
  6. Step 6: Final answer
    x = 6,471.45

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