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Finding the Fourth Proportional to 7,750.62, 11,625.12 and 4,588.38

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Solution

The fourth proportional to 7,750.62, 11,625.12 and 4,588.38 is: 6,882.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,750.62 : 11,625.12 = 4,588.38 : x
  2. Step 2: Convert to fraction form
    7,750.62/11,625.12 = 4,588.38/x
  3. Step 3: Cross multiply
    7,750.62x = 11,625.12 × 4,588.38
  4. Step 4: Simplify right side
    7,750.62x = 53,340,468.11
  5. Step 5: Solve for x
    x = 53,340,468.11/7,750.62
  6. Step 6: Final answer
    x = 6,882.09

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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.