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Finding the Fourth Proportional to 10,469.36, 15,704.58 and 2,678.24

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Solution

The fourth proportional to 10,469.36, 15,704.58 and 2,678.24 is: 4,017.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,469.36 : 15,704.58 = 2,678.24 : x
  2. Step 2: Convert to fraction form
    10,469.36/15,704.58 = 2,678.24/x
  3. Step 3: Cross multiply
    10,469.36x = 15,704.58 × 2,678.24
  4. Step 4: Simplify right side
    10,469.36x = 42,060,634.34
  5. Step 5: Solve for x
    x = 42,060,634.34/10,469.36
  6. Step 6: Final answer
    x = 4,017.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.