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Finding the Fourth Proportional to 7,904.64, 10,896.20 and 5,912.16

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Solution

The fourth proportional to 7,904.64, 10,896.20 and 5,912.16 is: 8,149.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,904.64 : 10,896.20 = 5,912.16 : x
  2. Step 2: Convert to fraction form
    7,904.64/10,896.20 = 5,912.16/x
  3. Step 3: Cross multiply
    7,904.64x = 10,896.20 × 5,912.16
  4. Step 4: Simplify right side
    7,904.64x = 64,420,077.79
  5. Step 5: Solve for x
    x = 64,420,077.79/7,904.64
  6. Step 6: Final answer
    x = 8,149.65

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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.