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Finding the Fourth Proportional to 8,505.28, 11,738.40 and 6,155.20

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Solution

The fourth proportional to 8,505.28, 11,738.40 and 6,155.20 is: 8,494.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,505.28 : 11,738.40 = 6,155.20 : x
  2. Step 2: Convert to fraction form
    8,505.28/11,738.40 = 6,155.20/x
  3. Step 3: Cross multiply
    8,505.28x = 11,738.40 × 6,155.20
  4. Step 4: Simplify right side
    8,505.28x = 72,252,199.68
  5. Step 5: Solve for x
    x = 72,252,199.68/8,505.28
  6. Step 6: Final answer
    x = 8,494.98

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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.