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Finding the Fourth Proportional to 7,923.42, 10,937.82 and 4,737.84

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Solution

The fourth proportional to 7,923.42, 10,937.82 and 4,737.84 is: 6,540.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,923.42 : 10,937.82 = 4,737.84 : x
  2. Step 2: Convert to fraction form
    7,923.42/10,937.82 = 4,737.84/x
  3. Step 3: Cross multiply
    7,923.42x = 10,937.82 × 4,737.84
  4. Step 4: Simplify right side
    7,923.42x = 51,821,641.11
  5. Step 5: Solve for x
    x = 51,821,641.11/7,923.42
  6. Step 6: Final answer
    x = 6,540.31

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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.