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Finding the Fourth Proportional to 10,205.72, 15,311.10 and 3,631.40

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Solution

The fourth proportional to 10,205.72, 15,311.10 and 3,631.40 is: 5,448.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,205.72 : 15,311.10 = 3,631.40 : x
  2. Step 2: Convert to fraction form
    10,205.72/15,311.10 = 3,631.40/x
  3. Step 3: Cross multiply
    10,205.72x = 15,311.10 × 3,631.40
  4. Step 4: Simplify right side
    10,205.72x = 55,600,728.54
  5. Step 5: Solve for x
    x = 55,600,728.54/10,205.72
  6. Step 6: Final answer
    x = 5,448.00

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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.