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Finding the Fourth Proportional to 6,304.64, 8,692.26 and 5,166.07

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Solution

The fourth proportional to 6,304.64, 8,692.26 and 5,166.07 is: 7,122.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,304.64 : 8,692.26 = 5,166.07 : x
  2. Step 2: Convert to fraction form
    6,304.64/8,692.26 = 5,166.07/x
  3. Step 3: Cross multiply
    6,304.64x = 8,692.26 × 5,166.07
  4. Step 4: Simplify right side
    6,304.64x = 44,904,811.57
  5. Step 5: Solve for x
    x = 44,904,811.57/6,304.64
  6. Step 6: Final answer
    x = 7,122.51

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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.