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Finding the Fourth Proportional to 10,226.40, 15,336 and 3,651.60

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Solution

The fourth proportional to 10,226.40, 15,336 and 3,651.60 is: 5,476.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,226.40 : 15,336 = 3,651.60 : x
  2. Step 2: Convert to fraction form
    10,226.40/15,336 = 3,651.60/x
  3. Step 3: Cross multiply
    10,226.40x = 15,336 × 3,651.60
  4. Step 4: Simplify right side
    10,226.40x = 56,000,937.60
  5. Step 5: Solve for x
    x = 56,000,937.60/10,226.40
  6. Step 6: Final answer
    x = 5,476.11

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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.