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Finding the Fourth Proportional to 11,740.99, 16,201.12 and 7,432.40

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Solution

The fourth proportional to 11,740.99, 16,201.12 and 7,432.40 is: 10,255.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,740.99 : 16,201.12 = 7,432.40 : x
  2. Step 2: Convert to fraction form
    11,740.99/16,201.12 = 7,432.40/x
  3. Step 3: Cross multiply
    11,740.99x = 16,201.12 × 7,432.40
  4. Step 4: Simplify right side
    11,740.99x = 120,413,086.12
  5. Step 5: Solve for x
    x = 120,413,086.12/11,740.99
  6. Step 6: Final answer
    x = 10,255.79

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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.