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Finding the Fourth Proportional to 7,584.95, 11,318.09 and 6,796.92

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Solution

The fourth proportional to 7,584.95, 11,318.09 and 6,796.92 is: 10,142.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,584.95 : 11,318.09 = 6,796.92 : x
  2. Step 2: Convert to fraction form
    7,584.95/11,318.09 = 6,796.92/x
  3. Step 3: Cross multiply
    7,584.95x = 11,318.09 × 6,796.92
  4. Step 4: Simplify right side
    7,584.95x = 76,928,061.71
  5. Step 5: Solve for x
    x = 76,928,061.71/7,584.95
  6. Step 6: Final answer
    x = 10,142.20

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.