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Finding the Fourth Proportional to 10,876.05, 16,311.54 and 5,323.83

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Solution

The fourth proportional to 10,876.05, 16,311.54 and 5,323.83 is: 7,984.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,876.05 : 16,311.54 = 5,323.83 : x
  2. Step 2: Convert to fraction form
    10,876.05/16,311.54 = 5,323.83/x
  3. Step 3: Cross multiply
    10,876.05x = 16,311.54 × 5,323.83
  4. Step 4: Simplify right side
    10,876.05x = 86,839,866.00
  5. Step 5: Solve for x
    x = 86,839,866.00/10,876.05
  6. Step 6: Final answer
    x = 7,984.50

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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.