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Finding the Fourth Proportional to 10,693.94, 16,041.39 and 3,768.50

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Solution

The fourth proportional to 10,693.94, 16,041.39 and 3,768.50 is: 5,652.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,693.94 : 16,041.39 = 3,768.50 : x
  2. Step 2: Convert to fraction form
    10,693.94/16,041.39 = 3,768.50/x
  3. Step 3: Cross multiply
    10,693.94x = 16,041.39 × 3,768.50
  4. Step 4: Simplify right side
    10,693.94x = 60,451,978.22
  5. Step 5: Solve for x
    x = 60,451,978.22/10,693.94
  6. Step 6: Final answer
    x = 5,652.92

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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.