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Finding the Fourth Proportional to 11,563.05, 17,333.94 and 4,165.70

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Solution

The fourth proportional to 11,563.05, 17,333.94 and 4,165.70 is: 6,244.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,563.05 : 17,333.94 = 4,165.70 : x
  2. Step 2: Convert to fraction form
    11,563.05/17,333.94 = 4,165.70/x
  3. Step 3: Cross multiply
    11,563.05x = 17,333.94 × 4,165.70
  4. Step 4: Simplify right side
    11,563.05x = 72,207,977.40
  5. Step 5: Solve for x
    x = 72,207,977.40/11,563.05
  6. Step 6: Final answer
    x = 6,244.72

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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.