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Finding the Fourth Proportional to 6,692.28, 10,044.54 and 3,407.64

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Solution

The fourth proportional to 6,692.28, 10,044.54 and 3,407.64 is: 5,114.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,692.28 : 10,044.54 = 3,407.64 : x
  2. Step 2: Convert to fraction form
    6,692.28/10,044.54 = 3,407.64/x
  3. Step 3: Cross multiply
    6,692.28x = 10,044.54 × 3,407.64
  4. Step 4: Simplify right side
    6,692.28x = 34,228,176.29
  5. Step 5: Solve for x
    x = 34,228,176.29/6,692.28
  6. Step 6: Final answer
    x = 5,114.58

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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.