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Finding the Fourth Proportional to 7,658.88, 11,485.92 and 5,075.52

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Solution

The fourth proportional to 7,658.88, 11,485.92 and 5,075.52 is: 7,611.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,658.88 : 11,485.92 = 5,075.52 : x
  2. Step 2: Convert to fraction form
    7,658.88/11,485.92 = 5,075.52/x
  3. Step 3: Cross multiply
    7,658.88x = 11,485.92 × 5,075.52
  4. Step 4: Simplify right side
    7,658.88x = 58,297,016.68
  5. Step 5: Solve for x
    x = 58,297,016.68/7,658.88
  6. Step 6: Final answer
    x = 7,611.69

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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.