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Finding the Fourth Proportional to 7,085.39, 9,778.82 and 4,102.16

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Solution

The fourth proportional to 7,085.39, 9,778.82 and 4,102.16 is: 5,661.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,085.39 : 9,778.82 = 4,102.16 : x
  2. Step 2: Convert to fraction form
    7,085.39/9,778.82 = 4,102.16/x
  3. Step 3: Cross multiply
    7,085.39x = 9,778.82 × 4,102.16
  4. Step 4: Simplify right side
    7,085.39x = 40,114,214.85
  5. Step 5: Solve for x
    x = 40,114,214.85/7,085.39
  6. Step 6: Final answer
    x = 5,661.54

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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.