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Finding the Fourth Proportional to 6,214.50, 8,583.12 and 4,221.72

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Solution

The fourth proportional to 6,214.50, 8,583.12 and 4,221.72 is: 5,830.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,214.50 : 8,583.12 = 4,221.72 : x
  2. Step 2: Convert to fraction form
    6,214.50/8,583.12 = 4,221.72/x
  3. Step 3: Cross multiply
    6,214.50x = 8,583.12 × 4,221.72
  4. Step 4: Simplify right side
    6,214.50x = 36,235,529.37
  5. Step 5: Solve for x
    x = 36,235,529.37/6,214.50
  6. Step 6: Final answer
    x = 5,830.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.