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Finding the Fourth Proportional to 11,796.85, 17,695.55 and 3,031.84

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Solution

The fourth proportional to 11,796.85, 17,695.55 and 3,031.84 is: 4,547.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,796.85 : 17,695.55 = 3,031.84 : x
  2. Step 2: Convert to fraction form
    11,796.85/17,695.55 = 3,031.84/x
  3. Step 3: Cross multiply
    11,796.85x = 17,695.55 × 3,031.84
  4. Step 4: Simplify right side
    11,796.85x = 53,650,076.31
  5. Step 5: Solve for x
    x = 53,650,076.31/11,796.85
  6. Step 6: Final answer
    x = 4,547.83

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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.