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Finding the Fourth Proportional to 10,396.02, 15,600.18 and 3,826.82

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Solution

The fourth proportional to 10,396.02, 15,600.18 and 3,826.82 is: 5,742.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,396.02 : 15,600.18 = 3,826.82 : x
  2. Step 2: Convert to fraction form
    10,396.02/15,600.18 = 3,826.82/x
  3. Step 3: Cross multiply
    10,396.02x = 15,600.18 × 3,826.82
  4. Step 4: Simplify right side
    10,396.02x = 59,699,080.83
  5. Step 5: Solve for x
    x = 59,699,080.83/10,396.02
  6. Step 6: Final answer
    x = 5,742.49

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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.