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Finding the Fourth Proportional to 7,657.85, 11,464.46 and 5,692.18

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Solution

The fourth proportional to 7,657.85, 11,464.46 and 5,692.18 is: 8,521.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,657.85 : 11,464.46 = 5,692.18 : x
  2. Step 2: Convert to fraction form
    7,657.85/11,464.46 = 5,692.18/x
  3. Step 3: Cross multiply
    7,657.85x = 11,464.46 × 5,692.18
  4. Step 4: Simplify right side
    7,657.85x = 65,257,684.14
  5. Step 5: Solve for x
    x = 65,257,684.14/7,657.85
  6. Step 6: Final answer
    x = 8,521.68

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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.