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Finding the Fourth Proportional to 10,016.16, 15,024.24 and 3,855.84

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Solution

The fourth proportional to 10,016.16, 15,024.24 and 3,855.84 is: 5,783.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,016.16 : 15,024.24 = 3,855.84 : x
  2. Step 2: Convert to fraction form
    10,016.16/15,024.24 = 3,855.84/x
  3. Step 3: Cross multiply
    10,016.16x = 15,024.24 × 3,855.84
  4. Step 4: Simplify right side
    10,016.16x = 57,931,065.56
  5. Step 5: Solve for x
    x = 57,931,065.56/10,016.16
  6. Step 6: Final answer
    x = 5,783.76

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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.