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Finding the Fourth Proportional to 10,396.32, 15,601.32 and 3,822.58

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Solution

The fourth proportional to 10,396.32, 15,601.32 and 3,822.58 is: 5,736.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,396.32 : 15,601.32 = 3,822.58 : x
  2. Step 2: Convert to fraction form
    10,396.32/15,601.32 = 3,822.58/x
  3. Step 3: Cross multiply
    10,396.32x = 15,601.32 × 3,822.58
  4. Step 4: Simplify right side
    10,396.32x = 59,637,293.81
  5. Step 5: Solve for x
    x = 59,637,293.81/10,396.32
  6. Step 6: Final answer
    x = 5,736.38

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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.