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Finding the Fourth Proportional to 7,773.75, 10,728.24 and 4,416.71

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Solution

The fourth proportional to 7,773.75, 10,728.24 and 4,416.71 is: 6,095.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,773.75 : 10,728.24 = 4,416.71 : x
  2. Step 2: Convert to fraction form
    7,773.75/10,728.24 = 4,416.71/x
  3. Step 3: Cross multiply
    7,773.75x = 10,728.24 × 4,416.71
  4. Step 4: Simplify right side
    7,773.75x = 47,383,454.69
  5. Step 5: Solve for x
    x = 47,383,454.69/7,773.75
  6. Step 6: Final answer
    x = 6,095.31

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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.