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Finding the Fourth Proportional to 7,525.88, 10,390.74 and 5,766.68

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Solution

The fourth proportional to 7,525.88, 10,390.74 and 5,766.68 is: 7,961.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,525.88 : 10,390.74 = 5,766.68 : x
  2. Step 2: Convert to fraction form
    7,525.88/10,390.74 = 5,766.68/x
  3. Step 3: Cross multiply
    7,525.88x = 10,390.74 × 5,766.68
  4. Step 4: Simplify right side
    7,525.88x = 59,920,072.54
  5. Step 5: Solve for x
    x = 59,920,072.54/7,525.88
  6. Step 6: Final answer
    x = 7,961.87

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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.