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Finding the Fourth Proportional to 7,772.10, 10,725.49 and 4,235.31

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Solution

The fourth proportional to 7,772.10, 10,725.49 and 4,235.31 is: 5,844.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,772.10 : 10,725.49 = 4,235.31 : x
  2. Step 2: Convert to fraction form
    7,772.10/10,725.49 = 4,235.31/x
  3. Step 3: Cross multiply
    7,772.10x = 10,725.49 × 4,235.31
  4. Step 4: Simplify right side
    7,772.10x = 45,425,775.05
  5. Step 5: Solve for x
    x = 45,425,775.05/7,772.10
  6. Step 6: Final answer
    x = 5,844.72

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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.