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Finding the Fourth Proportional to 11,796.72, 17,694.64 and 3,031.72

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Solution

The fourth proportional to 11,796.72, 17,694.64 and 3,031.72 is: 4,547.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,796.72 : 17,694.64 = 3,031.72 : x
  2. Step 2: Convert to fraction form
    11,796.72/17,694.64 = 3,031.72/x
  3. Step 3: Cross multiply
    11,796.72x = 17,694.64 × 3,031.72
  4. Step 4: Simplify right side
    11,796.72x = 53,645,193.98
  5. Step 5: Solve for x
    x = 53,645,193.98/11,796.72
  6. Step 6: Final answer
    x = 4,547.47

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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.