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Finding the Fourth Proportional to 7,852.46, 11,779.09 and 2,009.12

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Solution

The fourth proportional to 7,852.46, 11,779.09 and 2,009.12 is: 3,013.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852.46 : 11,779.09 = 2,009.12 : x
  2. Step 2: Convert to fraction form
    7,852.46/11,779.09 = 2,009.12/x
  3. Step 3: Cross multiply
    7,852.46x = 11,779.09 × 2,009.12
  4. Step 4: Simplify right side
    7,852.46x = 23,665,605.30
  5. Step 5: Solve for x
    x = 23,665,605.30/7,852.46
  6. Step 6: Final answer
    x = 3,013.78

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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.