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Finding the Fourth Proportional to 11,805.21, 17,697.69 and 5,226.39

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Solution

The fourth proportional to 11,805.21, 17,697.69 and 5,226.39 is: 7,835.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,805.21 : 17,697.69 = 5,226.39 : x
  2. Step 2: Convert to fraction form
    11,805.21/17,697.69 = 5,226.39/x
  3. Step 3: Cross multiply
    11,805.21x = 17,697.69 × 5,226.39
  4. Step 4: Simplify right side
    11,805.21x = 92,495,030.04
  5. Step 5: Solve for x
    x = 92,495,030.04/11,805.21
  6. Step 6: Final answer
    x = 7,835.10

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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.