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Finding the Fourth Proportional to 7,846.60, 11,770.10 and 2,299.36

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Solution

The fourth proportional to 7,846.60, 11,770.10 and 2,299.36 is: 3,449.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846.60 : 11,770.10 = 2,299.36 : x
  2. Step 2: Convert to fraction form
    7,846.60/11,770.10 = 2,299.36/x
  3. Step 3: Cross multiply
    7,846.60x = 11,770.10 × 2,299.36
  4. Step 4: Simplify right side
    7,846.60x = 27,063,685.64
  5. Step 5: Solve for x
    x = 27,063,685.64/7,846.60
  6. Step 6: Final answer
    x = 3,449.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.