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Finding the Fourth Proportional to 10,244.30, 15,365.84 and 3,580.33

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Solution

The fourth proportional to 10,244.30, 15,365.84 and 3,580.33 is: 5,370.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,244.30 : 15,365.84 = 3,580.33 : x
  2. Step 2: Convert to fraction form
    10,244.30/15,365.84 = 3,580.33/x
  3. Step 3: Cross multiply
    10,244.30x = 15,365.84 × 3,580.33
  4. Step 4: Simplify right side
    10,244.30x = 55,014,777.93
  5. Step 5: Solve for x
    x = 55,014,777.93/10,244.30
  6. Step 6: Final answer
    x = 5,370.28

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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.