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Finding the Fourth Proportional to 8,454.84, 12,670.70 and 3,184.56

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Solution

The fourth proportional to 8,454.84, 12,670.70 and 3,184.56 is: 4,772.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,454.84 : 12,670.70 = 3,184.56 : x
  2. Step 2: Convert to fraction form
    8,454.84/12,670.70 = 3,184.56/x
  3. Step 3: Cross multiply
    8,454.84x = 12,670.70 × 3,184.56
  4. Step 4: Simplify right side
    8,454.84x = 40,350,588.47
  5. Step 5: Solve for x
    x = 40,350,588.47/8,454.84
  6. Step 6: Final answer
    x = 4,772.48

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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.