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Finding the Fourth Proportional to 10,772.46, 16,148.88 and 3,845.34

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Solution

The fourth proportional to 10,772.46, 16,148.88 and 3,845.34 is: 5,764.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,772.46 : 16,148.88 = 3,845.34 : x
  2. Step 2: Convert to fraction form
    10,772.46/16,148.88 = 3,845.34/x
  3. Step 3: Cross multiply
    10,772.46x = 16,148.88 × 3,845.34
  4. Step 4: Simplify right side
    10,772.46x = 62,097,934.22
  5. Step 5: Solve for x
    x = 62,097,934.22/10,772.46
  6. Step 6: Final answer
    x = 5,764.51

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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.