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Finding the Fourth Proportional to 7,923.18, 10,923.62 and 4,933.82

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Solution

The fourth proportional to 7,923.18, 10,923.62 and 4,933.82 is: 6,802.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,923.18 : 10,923.62 = 4,933.82 : x
  2. Step 2: Convert to fraction form
    7,923.18/10,923.62 = 4,933.82/x
  3. Step 3: Cross multiply
    7,923.18x = 10,923.62 × 4,933.82
  4. Step 4: Simplify right side
    7,923.18x = 53,895,174.83
  5. Step 5: Solve for x
    x = 53,895,174.83/7,923.18
  6. Step 6: Final answer
    x = 6,802.22

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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.