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Finding the Fourth Proportional to 7,772.44, 10,725.97 and 4,235.65

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Solution

The fourth proportional to 7,772.44, 10,725.97 and 4,235.65 is: 5,845.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,772.44 : 10,725.97 = 4,235.65 : x
  2. Step 2: Convert to fraction form
    7,772.44/10,725.97 = 4,235.65/x
  3. Step 3: Cross multiply
    7,772.44x = 10,725.97 × 4,235.65
  4. Step 4: Simplify right side
    7,772.44x = 45,431,417.43
  5. Step 5: Solve for x
    x = 45,431,417.43/7,772.44
  6. Step 6: Final answer
    x = 5,845.20

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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.