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Finding the Fourth Proportional to 7,923.97, 10,936.23 and 4,566.13

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Solution

The fourth proportional to 7,923.97, 10,936.23 and 4,566.13 is: 6,301.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,923.97 : 10,936.23 = 4,566.13 : x
  2. Step 2: Convert to fraction form
    7,923.97/10,936.23 = 4,566.13/x
  3. Step 3: Cross multiply
    7,923.97x = 10,936.23 × 4,566.13
  4. Step 4: Simplify right side
    7,923.97x = 49,936,247.89
  5. Step 5: Solve for x
    x = 49,936,247.89/7,923.97
  6. Step 6: Final answer
    x = 6,301.92

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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.