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Finding the Fourth Proportional to 8,662.83, 12,989.06 and 4,211.74

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Solution

The fourth proportional to 8,662.83, 12,989.06 and 4,211.74 is: 6,315.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,662.83 : 12,989.06 = 4,211.74 : x
  2. Step 2: Convert to fraction form
    8,662.83/12,989.06 = 4,211.74/x
  3. Step 3: Cross multiply
    8,662.83x = 12,989.06 × 4,211.74
  4. Step 4: Simplify right side
    8,662.83x = 54,706,543.56
  5. Step 5: Solve for x
    x = 54,706,543.56/8,662.83
  6. Step 6: Final answer
    x = 6,315.09

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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.