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Finding the Fourth Proportional to 11,900.16, 16,419.36 and 8,542.40

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Solution

The fourth proportional to 11,900.16, 16,419.36 and 8,542.40 is: 11,786.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,900.16 : 16,419.36 = 8,542.40 : x
  2. Step 2: Convert to fraction form
    11,900.16/16,419.36 = 8,542.40/x
  3. Step 3: Cross multiply
    11,900.16x = 16,419.36 × 8,542.40
  4. Step 4: Simplify right side
    11,900.16x = 140,260,740.86
  5. Step 5: Solve for x
    x = 140,260,740.86/11,900.16
  6. Step 6: Final answer
    x = 11,786.46

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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.