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Finding the Fourth Proportional to 10,764.16, 16,145.79 and 3,745.77

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Solution

The fourth proportional to 10,764.16, 16,145.79 and 3,745.77 is: 5,618.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,764.16 : 16,145.79 = 3,745.77 : x
  2. Step 2: Convert to fraction form
    10,764.16/16,145.79 = 3,745.77/x
  3. Step 3: Cross multiply
    10,764.16x = 16,145.79 × 3,745.77
  4. Step 4: Simplify right side
    10,764.16x = 60,478,415.81
  5. Step 5: Solve for x
    x = 60,478,415.81/10,764.16
  6. Step 6: Final answer
    x = 5,618.50

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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.