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Finding the Fourth Proportional to 11,756.68, 17,634.54 and 4,831

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Solution

The fourth proportional to 11,756.68, 17,634.54 and 4,831 is: 7,246.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,756.68 : 17,634.54 = 4,831 : x
  2. Step 2: Convert to fraction form
    11,756.68/17,634.54 = 4,831/x
  3. Step 3: Cross multiply
    11,756.68x = 17,634.54 × 4,831
  4. Step 4: Simplify right side
    11,756.68x = 85,192,462.74
  5. Step 5: Solve for x
    x = 85,192,462.74/11,756.68
  6. Step 6: Final answer
    x = 7,246.30

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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.