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Finding the Fourth Proportional to 10,634.34, 15,951.36 and 4,786.80

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Solution

The fourth proportional to 10,634.34, 15,951.36 and 4,786.80 is: 7,180.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,634.34 : 15,951.36 = 4,786.80 : x
  2. Step 2: Convert to fraction form
    10,634.34/15,951.36 = 4,786.80/x
  3. Step 3: Cross multiply
    10,634.34x = 15,951.36 × 4,786.80
  4. Step 4: Simplify right side
    10,634.34x = 76,355,970.05
  5. Step 5: Solve for x
    x = 76,355,970.05/10,634.34
  6. Step 6: Final answer
    x = 7,180.13

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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.