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Finding the Fourth Proportional to 7,205.89, 10,805.10 and 2,762.25

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Solution

The fourth proportional to 7,205.89, 10,805.10 and 2,762.25 is: 4,141.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,205.89 : 10,805.10 = 2,762.25 : x
  2. Step 2: Convert to fraction form
    7,205.89/10,805.10 = 2,762.25/x
  3. Step 3: Cross multiply
    7,205.89x = 10,805.10 × 2,762.25
  4. Step 4: Simplify right side
    7,205.89x = 29,846,319.64
  5. Step 5: Solve for x
    x = 29,846,319.64/7,205.89
  6. Step 6: Final answer
    x = 4,141.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.