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Finding the Fourth Proportional to 7,191.30, 10,791.14 and 3,031.05

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Solution

The fourth proportional to 7,191.30, 10,791.14 and 3,031.05 is: 4,548.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,191.30 : 10,791.14 = 3,031.05 : x
  2. Step 2: Convert to fraction form
    7,191.30/10,791.14 = 3,031.05/x
  3. Step 3: Cross multiply
    7,191.30x = 10,791.14 × 3,031.05
  4. Step 4: Simplify right side
    7,191.30x = 32,708,484.90
  5. Step 5: Solve for x
    x = 32,708,484.90/7,191.30
  6. Step 6: Final answer
    x = 4,548.34

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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.