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Finding the Fourth Proportional to 11,838.21, 17,752.69 and 4,438.63

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Solution

The fourth proportional to 11,838.21, 17,752.69 and 4,438.63 is: 6,656.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,838.21 : 17,752.69 = 4,438.63 : x
  2. Step 2: Convert to fraction form
    11,838.21/17,752.69 = 4,438.63/x
  3. Step 3: Cross multiply
    11,838.21x = 17,752.69 × 4,438.63
  4. Step 4: Simplify right side
    11,838.21x = 78,797,622.41
  5. Step 5: Solve for x
    x = 78,797,622.41/11,838.21
  6. Step 6: Final answer
    x = 6,656.21

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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.