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Finding the Fourth Proportional to 6,778.28, 10,155 and 4,692.32

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Solution

The fourth proportional to 6,778.28, 10,155 and 4,692.32 is: 7,029.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,778.28 : 10,155 = 4,692.32 : x
  2. Step 2: Convert to fraction form
    6,778.28/10,155 = 4,692.32/x
  3. Step 3: Cross multiply
    6,778.28x = 10,155 × 4,692.32
  4. Step 4: Simplify right side
    6,778.28x = 47,650,509.60
  5. Step 5: Solve for x
    x = 47,650,509.60/6,778.28
  6. Step 6: Final answer
    x = 7,029.88

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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.