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Finding the Fourth Proportional to 10,393.74, 15,596.75 and 3,824.53

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Solution

The fourth proportional to 10,393.74, 15,596.75 and 3,824.53 is: 5,739.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,393.74 : 15,596.75 = 3,824.53 : x
  2. Step 2: Convert to fraction form
    10,393.74/15,596.75 = 3,824.53/x
  3. Step 3: Cross multiply
    10,393.74x = 15,596.75 × 3,824.53
  4. Step 4: Simplify right side
    10,393.74x = 59,650,238.28
  5. Step 5: Solve for x
    x = 59,650,238.28/10,393.74
  6. Step 6: Final answer
    x = 5,739.05

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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.