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Finding the Fourth Proportional to 7,847.16, 11,770.68 and 2,003.70

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Solution

The fourth proportional to 7,847.16, 11,770.68 and 2,003.70 is: 3,005.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,847.16 : 11,770.68 = 2,003.70 : x
  2. Step 2: Convert to fraction form
    7,847.16/11,770.68 = 2,003.70/x
  3. Step 3: Cross multiply
    7,847.16x = 11,770.68 × 2,003.70
  4. Step 4: Simplify right side
    7,847.16x = 23,584,911.52
  5. Step 5: Solve for x
    x = 23,584,911.52/7,847.16
  6. Step 6: Final answer
    x = 3,005.53

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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.