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Finding the Fourth Proportional to 7,458.70, 11,187.87 and 3,076.42

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Solution

The fourth proportional to 7,458.70, 11,187.87 and 3,076.42 is: 4,614.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,458.70 : 11,187.87 = 3,076.42 : x
  2. Step 2: Convert to fraction form
    7,458.70/11,187.87 = 3,076.42/x
  3. Step 3: Cross multiply
    7,458.70x = 11,187.87 × 3,076.42
  4. Step 4: Simplify right side
    7,458.70x = 34,418,587.03
  5. Step 5: Solve for x
    x = 34,418,587.03/7,458.70
  6. Step 6: Final answer
    x = 4,614.56

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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.