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Finding the Fourth Proportional to 10,671.60, 15,996.60 and 6,286.80

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Solution

The fourth proportional to 10,671.60, 15,996.60 and 6,286.80 is: 9,423.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,671.60 : 15,996.60 = 6,286.80 : x
  2. Step 2: Convert to fraction form
    10,671.60/15,996.60 = 6,286.80/x
  3. Step 3: Cross multiply
    10,671.60x = 15,996.60 × 6,286.80
  4. Step 4: Simplify right side
    10,671.60x = 100,567,424.88
  5. Step 5: Solve for x
    x = 100,567,424.88/10,671.60
  6. Step 6: Final answer
    x = 9,423.84

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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.