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Finding the Fourth Proportional to 7,354.59, 11,031.86 and 3,194.06

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Solution

The fourth proportional to 7,354.59, 11,031.86 and 3,194.06 is: 4,791.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,354.59 : 11,031.86 = 3,194.06 : x
  2. Step 2: Convert to fraction form
    7,354.59/11,031.86 = 3,194.06/x
  3. Step 3: Cross multiply
    7,354.59x = 11,031.86 × 3,194.06
  4. Step 4: Simplify right side
    7,354.59x = 35,236,422.75
  5. Step 5: Solve for x
    x = 35,236,422.75/7,354.59
  6. Step 6: Final answer
    x = 4,791.08

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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.