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Finding the Fourth Proportional to 10,662.24, 15,994.20 and 3,645.60

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Solution

The fourth proportional to 10,662.24, 15,994.20 and 3,645.60 is: 5,468.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,662.24 : 15,994.20 = 3,645.60 : x
  2. Step 2: Convert to fraction form
    10,662.24/15,994.20 = 3,645.60/x
  3. Step 3: Cross multiply
    10,662.24x = 15,994.20 × 3,645.60
  4. Step 4: Simplify right side
    10,662.24x = 58,308,455.52
  5. Step 5: Solve for x
    x = 58,308,455.52/10,662.24
  6. Step 6: Final answer
    x = 5,468.69

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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.