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Finding the Fourth Proportional to 6,223.57, 8,596.74 and 4,611.76

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Solution

The fourth proportional to 6,223.57, 8,596.74 and 4,611.76 is: 6,370.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,223.57 : 8,596.74 = 4,611.76 : x
  2. Step 2: Convert to fraction form
    6,223.57/8,596.74 = 4,611.76/x
  3. Step 3: Cross multiply
    6,223.57x = 8,596.74 × 4,611.76
  4. Step 4: Simplify right side
    6,223.57x = 39,646,101.66
  5. Step 5: Solve for x
    x = 39,646,101.66/6,223.57
  6. Step 6: Final answer
    x = 6,370.32

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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.