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Finding the Fourth Proportional to 7,772.22, 10,725.54 and 4,235.46

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Solution

The fourth proportional to 7,772.22, 10,725.54 and 4,235.46 is: 5,844.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,772.22 : 10,725.54 = 4,235.46 : x
  2. Step 2: Convert to fraction form
    7,772.22/10,725.54 = 4,235.46/x
  3. Step 3: Cross multiply
    7,772.22x = 10,725.54 × 4,235.46
  4. Step 4: Simplify right side
    7,772.22x = 45,427,595.65
  5. Step 5: Solve for x
    x = 45,427,595.65/7,772.22
  6. Step 6: Final answer
    x = 5,844.87

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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.