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Finding the Fourth Proportional to 10,469.36, 15,704.01 and 2,678.15

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Solution

The fourth proportional to 10,469.36, 15,704.01 and 2,678.15 is: 4,017.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,469.36 : 15,704.01 = 2,678.15 : x
  2. Step 2: Convert to fraction form
    10,469.36/15,704.01 = 2,678.15/x
  3. Step 3: Cross multiply
    10,469.36x = 15,704.01 × 2,678.15
  4. Step 4: Simplify right side
    10,469.36x = 42,057,615.86
  5. Step 5: Solve for x
    x = 42,057,615.86/10,469.36
  6. Step 6: Final answer
    x = 4,017.21

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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.