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Finding the Fourth Proportional to 7,796.28, 11,703.72 and 6,154.08

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Solution

The fourth proportional to 7,796.28, 11,703.72 and 6,154.08 is: 9,238.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,796.28 : 11,703.72 = 6,154.08 : x
  2. Step 2: Convert to fraction form
    7,796.28/11,703.72 = 6,154.08/x
  3. Step 3: Cross multiply
    7,796.28x = 11,703.72 × 6,154.08
  4. Step 4: Simplify right side
    7,796.28x = 72,025,629.18
  5. Step 5: Solve for x
    x = 72,025,629.18/7,796.28
  6. Step 6: Final answer
    x = 9,238.46

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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.