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Finding the Fourth Proportional to 7,849.95, 11,774.75 and 2,006.79

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Solution

The fourth proportional to 7,849.95, 11,774.75 and 2,006.79 is: 3,010.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,849.95 : 11,774.75 = 2,006.79 : x
  2. Step 2: Convert to fraction form
    7,849.95/11,774.75 = 2,006.79/x
  3. Step 3: Cross multiply
    7,849.95x = 11,774.75 × 2,006.79
  4. Step 4: Simplify right side
    7,849.95x = 23,629,440.52
  5. Step 5: Solve for x
    x = 23,629,440.52/7,849.95
  6. Step 6: Final answer
    x = 3,010.14

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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.