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Finding the Fourth Proportional to 11,819, 17,733.58 and 4,422.52

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Solution

The fourth proportional to 11,819, 17,733.58 and 4,422.52 is: 6,635.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,819 : 17,733.58 = 4,422.52 : x
  2. Step 2: Convert to fraction form
    11,819/17,733.58 = 4,422.52/x
  3. Step 3: Cross multiply
    11,819x = 17,733.58 × 4,422.52
  4. Step 4: Simplify right side
    11,819x = 78,427,112.22
  5. Step 5: Solve for x
    x = 78,427,112.22/11,819
  6. Step 6: Final answer
    x = 6,635.68

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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.