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Finding the Fourth Proportional to 10,103.64, 15,162.38 and 3,529.84

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Solution

The fourth proportional to 10,103.64, 15,162.38 and 3,529.84 is: 5,297.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,103.64 : 15,162.38 = 3,529.84 : x
  2. Step 2: Convert to fraction form
    10,103.64/15,162.38 = 3,529.84/x
  3. Step 3: Cross multiply
    10,103.64x = 15,162.38 × 3,529.84
  4. Step 4: Simplify right side
    10,103.64x = 53,520,775.42
  5. Step 5: Solve for x
    x = 53,520,775.42/10,103.64
  6. Step 6: Final answer
    x = 5,297.18

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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.