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Finding the Fourth Proportional to 8,074.94, 11,138.87 and 5,085.64

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Solution

The fourth proportional to 8,074.94, 11,138.87 and 5,085.64 is: 7,015.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,074.94 : 11,138.87 = 5,085.64 : x
  2. Step 2: Convert to fraction form
    8,074.94/11,138.87 = 5,085.64/x
  3. Step 3: Cross multiply
    8,074.94x = 11,138.87 × 5,085.64
  4. Step 4: Simplify right side
    8,074.94x = 56,648,282.83
  5. Step 5: Solve for x
    x = 56,648,282.83/8,074.94
  6. Step 6: Final answer
    x = 7,015.32

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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.