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Finding the Fourth Proportional to 7,844.58, 11,770.70 and 3,461.49

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Solution

The fourth proportional to 7,844.58, 11,770.70 and 3,461.49 is: 5,193.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,844.58 : 11,770.70 = 3,461.49 : x
  2. Step 2: Convert to fraction form
    7,844.58/11,770.70 = 3,461.49/x
  3. Step 3: Cross multiply
    7,844.58x = 11,770.70 × 3,461.49
  4. Step 4: Simplify right side
    7,844.58x = 40,744,143.04
  5. Step 5: Solve for x
    x = 40,744,143.04/7,844.58
  6. Step 6: Final answer
    x = 5,193.92

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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.