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Finding the Fourth Proportional to 8,657.46, 12,989.30 and 2,814.08

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Solution

The fourth proportional to 8,657.46, 12,989.30 and 2,814.08 is: 4,222.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,657.46 : 12,989.30 = 2,814.08 : x
  2. Step 2: Convert to fraction form
    8,657.46/12,989.30 = 2,814.08/x
  3. Step 3: Cross multiply
    8,657.46x = 12,989.30 × 2,814.08
  4. Step 4: Simplify right side
    8,657.46x = 36,552,850.33
  5. Step 5: Solve for x
    x = 36,552,850.33/8,657.46
  6. Step 6: Final answer
    x = 4,222.12

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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.