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Finding the Fourth Proportional to 8,228.42, 11,354.93 and 4,692.76

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Solution

The fourth proportional to 8,228.42, 11,354.93 and 4,692.76 is: 6,475.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,228.42 : 11,354.93 = 4,692.76 : x
  2. Step 2: Convert to fraction form
    8,228.42/11,354.93 = 4,692.76/x
  3. Step 3: Cross multiply
    8,228.42x = 11,354.93 × 4,692.76
  4. Step 4: Simplify right side
    8,228.42x = 53,285,961.31
  5. Step 5: Solve for x
    x = 53,285,961.31/8,228.42
  6. Step 6: Final answer
    x = 6,475.84

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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.