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Finding the Fourth Proportional to 8,096.64, 11,173.64 and 4,739.76

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Solution

The fourth proportional to 8,096.64, 11,173.64 and 4,739.76 is: 6,541.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,096.64 : 11,173.64 = 4,739.76 : x
  2. Step 2: Convert to fraction form
    8,096.64/11,173.64 = 4,739.76/x
  3. Step 3: Cross multiply
    8,096.64x = 11,173.64 × 4,739.76
  4. Step 4: Simplify right side
    8,096.64x = 52,960,371.93
  5. Step 5: Solve for x
    x = 52,960,371.93/8,096.64
  6. Step 6: Final answer
    x = 6,541.03

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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.