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Finding the Fourth Proportional to 7,772.86, 10,728.28 and 4,939.68

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Solution

The fourth proportional to 7,772.86, 10,728.28 and 4,939.68 is: 6,817.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,772.86 : 10,728.28 = 4,939.68 : x
  2. Step 2: Convert to fraction form
    7,772.86/10,728.28 = 4,939.68/x
  3. Step 3: Cross multiply
    7,772.86x = 10,728.28 × 4,939.68
  4. Step 4: Simplify right side
    7,772.86x = 52,994,316.56
  5. Step 5: Solve for x
    x = 52,994,316.56/7,772.86
  6. Step 6: Final answer
    x = 6,817.86

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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.