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Finding the Fourth Proportional to 10,435.42, 15,653.13 and 3,859.84

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Solution

The fourth proportional to 10,435.42, 15,653.13 and 3,859.84 is: 5,789.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,435.42 : 15,653.13 = 3,859.84 : x
  2. Step 2: Convert to fraction form
    10,435.42/15,653.13 = 3,859.84/x
  3. Step 3: Cross multiply
    10,435.42x = 15,653.13 × 3,859.84
  4. Step 4: Simplify right side
    10,435.42x = 60,418,577.30
  5. Step 5: Solve for x
    x = 60,418,577.30/10,435.42
  6. Step 6: Final answer
    x = 5,789.76

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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.