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Finding the Fourth Proportional to 8,341.74, 12,512.70 and 2,185.74

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Solution

The fourth proportional to 8,341.74, 12,512.70 and 2,185.74 is: 3,278.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,341.74 : 12,512.70 = 2,185.74 : x
  2. Step 2: Convert to fraction form
    8,341.74/12,512.70 = 2,185.74/x
  3. Step 3: Cross multiply
    8,341.74x = 12,512.70 × 2,185.74
  4. Step 4: Simplify right side
    8,341.74x = 27,349,508.90
  5. Step 5: Solve for x
    x = 27,349,508.90/8,341.74
  6. Step 6: Final answer
    x = 3,278.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.