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Finding the Fourth Proportional to 11,911.42, 17,854.63 and 4,011.20

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Solution

The fourth proportional to 11,911.42, 17,854.63 and 4,011.20 is: 6,012.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,911.42 : 17,854.63 = 4,011.20 : x
  2. Step 2: Convert to fraction form
    11,911.42/17,854.63 = 4,011.20/x
  3. Step 3: Cross multiply
    11,911.42x = 17,854.63 × 4,011.20
  4. Step 4: Simplify right side
    11,911.42x = 71,618,491.86
  5. Step 5: Solve for x
    x = 71,618,491.86/11,911.42
  6. Step 6: Final answer
    x = 6,012.59

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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.