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Finding the Fourth Proportional to 8,170.10, 11,274.53 and 4,767.74

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Solution

The fourth proportional to 8,170.10, 11,274.53 and 4,767.74 is: 6,579.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,170.10 : 11,274.53 = 4,767.74 : x
  2. Step 2: Convert to fraction form
    8,170.10/11,274.53 = 4,767.74/x
  3. Step 3: Cross multiply
    8,170.10x = 11,274.53 × 4,767.74
  4. Step 4: Simplify right side
    8,170.10x = 53,753,947.45
  5. Step 5: Solve for x
    x = 53,753,947.45/8,170.10
  6. Step 6: Final answer
    x = 6,579.35

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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.