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Finding the Fourth Proportional to 7,852.46, 11,778.70 and 2,009.08

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Solution

The fourth proportional to 7,852.46, 11,778.70 and 2,009.08 is: 3,013.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852.46 : 11,778.70 = 2,009.08 : x
  2. Step 2: Convert to fraction form
    7,852.46/11,778.70 = 2,009.08/x
  3. Step 3: Cross multiply
    7,852.46x = 11,778.70 × 2,009.08
  4. Step 4: Simplify right side
    7,852.46x = 23,664,350.60
  5. Step 5: Solve for x
    x = 23,664,350.60/7,852.46
  6. Step 6: Final answer
    x = 3,013.62

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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.