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Finding the Fourth Proportional to 10,338.40, 15,504.84 and 4,493.62

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Solution

The fourth proportional to 10,338.40, 15,504.84 and 4,493.62 is: 6,739.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,338.40 : 15,504.84 = 4,493.62 : x
  2. Step 2: Convert to fraction form
    10,338.40/15,504.84 = 4,493.62/x
  3. Step 3: Cross multiply
    10,338.40x = 15,504.84 × 4,493.62
  4. Step 4: Simplify right side
    10,338.40x = 69,672,859.12
  5. Step 5: Solve for x
    x = 69,672,859.12/10,338.40
  6. Step 6: Final answer
    x = 6,739.23

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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.