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Finding the Fourth Proportional to 10,523.95, 15,784.28 and 3,504.05

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Solution

The fourth proportional to 10,523.95, 15,784.28 and 3,504.05 is: 5,255.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,523.95 : 15,784.28 = 3,504.05 : x
  2. Step 2: Convert to fraction form
    10,523.95/15,784.28 = 3,504.05/x
  3. Step 3: Cross multiply
    10,523.95x = 15,784.28 × 3,504.05
  4. Step 4: Simplify right side
    10,523.95x = 55,308,906.33
  5. Step 5: Solve for x
    x = 55,308,906.33/10,523.95
  6. Step 6: Final answer
    x = 5,255.53

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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.