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Finding the Fourth Proportional to 10,214.37, 15,318 and 3,639.60

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Solution

The fourth proportional to 10,214.37, 15,318 and 3,639.60 is: 5,458.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,214.37 : 15,318 = 3,639.60 : x
  2. Step 2: Convert to fraction form
    10,214.37/15,318 = 3,639.60/x
  3. Step 3: Cross multiply
    10,214.37x = 15,318 × 3,639.60
  4. Step 4: Simplify right side
    10,214.37x = 55,751,392.80
  5. Step 5: Solve for x
    x = 55,751,392.80/10,214.37
  6. Step 6: Final answer
    x = 5,458.13

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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.