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Finding the Fourth Proportional to 7,850.12, 11,775.10 and 2,006.72

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Solution

The fourth proportional to 7,850.12, 11,775.10 and 2,006.72 is: 3,010.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,850.12 : 11,775.10 = 2,006.72 : x
  2. Step 2: Convert to fraction form
    7,850.12/11,775.10 = 2,006.72/x
  3. Step 3: Cross multiply
    7,850.12x = 11,775.10 × 2,006.72
  4. Step 4: Simplify right side
    7,850.12x = 23,629,328.67
  5. Step 5: Solve for x
    x = 23,629,328.67/7,850.12
  6. Step 6: Final answer
    x = 3,010.06

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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.