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Finding the Fourth Proportional to 6,111.77, 8,438.57 and 4,768.85

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Solution

The fourth proportional to 6,111.77, 8,438.57 and 4,768.85 is: 6,584.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,111.77 : 8,438.57 = 4,768.85 : x
  2. Step 2: Convert to fraction form
    6,111.77/8,438.57 = 4,768.85/x
  3. Step 3: Cross multiply
    6,111.77x = 8,438.57 × 4,768.85
  4. Step 4: Simplify right side
    6,111.77x = 40,242,208.51
  5. Step 5: Solve for x
    x = 40,242,208.51/6,111.77
  6. Step 6: Final answer
    x = 6,584.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.