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Finding the Fourth Proportional to 11,854.05, 17,782.31 and 4,063.47

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Solution

The fourth proportional to 11,854.05, 17,782.31 and 4,063.47 is: 6,095.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,854.05 : 17,782.31 = 4,063.47 : x
  2. Step 2: Convert to fraction form
    11,854.05/17,782.31 = 4,063.47/x
  3. Step 3: Cross multiply
    11,854.05x = 17,782.31 × 4,063.47
  4. Step 4: Simplify right side
    11,854.05x = 72,257,883.22
  5. Step 5: Solve for x
    x = 72,257,883.22/11,854.05
  6. Step 6: Final answer
    x = 6,095.63

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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.