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Finding the Fourth Proportional to 11,138.20, 16,712.10 and 5,666.20

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Solution

The fourth proportional to 11,138.20, 16,712.10 and 5,666.20 is: 8,501.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,138.20 : 16,712.10 = 5,666.20 : x
  2. Step 2: Convert to fraction form
    11,138.20/16,712.10 = 5,666.20/x
  3. Step 3: Cross multiply
    11,138.20x = 16,712.10 × 5,666.20
  4. Step 4: Simplify right side
    11,138.20x = 94,694,101.02
  5. Step 5: Solve for x
    x = 94,694,101.02/11,138.20
  6. Step 6: Final answer
    x = 8,501.74

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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.