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Finding the Fourth Proportional to 8,434.95, 12,657.69 and 4,056.90

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Solution

The fourth proportional to 8,434.95, 12,657.69 and 4,056.90 is: 6,087.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,434.95 : 12,657.69 = 4,056.90 : x
  2. Step 2: Convert to fraction form
    8,434.95/12,657.69 = 4,056.90/x
  3. Step 3: Cross multiply
    8,434.95x = 12,657.69 × 4,056.90
  4. Step 4: Simplify right side
    8,434.95x = 51,350,982.56
  5. Step 5: Solve for x
    x = 51,350,982.56/8,434.95
  6. Step 6: Final answer
    x = 6,087.88

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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.