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Finding the Fourth Proportional to 7,850.02, 11,775.45 and 2,006.68

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Solution

The fourth proportional to 7,850.02, 11,775.45 and 2,006.68 is: 3,010.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,850.02 : 11,775.45 = 2,006.68 : x
  2. Step 2: Convert to fraction form
    7,850.02/11,775.45 = 2,006.68/x
  3. Step 3: Cross multiply
    7,850.02x = 11,775.45 × 2,006.68
  4. Step 4: Simplify right side
    7,850.02x = 23,629,560.01
  5. Step 5: Solve for x
    x = 23,629,560.01/7,850.02
  6. Step 6: Final answer
    x = 3,010.13

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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.