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Finding the Fourth Proportional to 7,847.76, 11,770.14 and 2,301.36

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Solution

The fourth proportional to 7,847.76, 11,770.14 and 2,301.36 is: 3,451.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,847.76 : 11,770.14 = 2,301.36 : x
  2. Step 2: Convert to fraction form
    7,847.76/11,770.14 = 2,301.36/x
  3. Step 3: Cross multiply
    7,847.76x = 11,770.14 × 2,301.36
  4. Step 4: Simplify right side
    7,847.76x = 27,087,329.39
  5. Step 5: Solve for x
    x = 27,087,329.39/7,847.76
  6. Step 6: Final answer
    x = 3,451.60

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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.