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Finding the Fourth Proportional to 7,540.83, 10,408.46 and 4,556.84

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Solution

The fourth proportional to 7,540.83, 10,408.46 and 4,556.84 is: 6,289.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,540.83 : 10,408.46 = 4,556.84 : x
  2. Step 2: Convert to fraction form
    7,540.83/10,408.46 = 4,556.84/x
  3. Step 3: Cross multiply
    7,540.83x = 10,408.46 × 4,556.84
  4. Step 4: Simplify right side
    7,540.83x = 47,429,612.04
  5. Step 5: Solve for x
    x = 47,429,612.04/7,540.83
  6. Step 6: Final answer
    x = 6,289.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.