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Finding the Fourth Proportional to 7,751.38, 10,696.85 and 4,214.60

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Solution

The fourth proportional to 7,751.38, 10,696.85 and 4,214.60 is: 5,816.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,751.38 : 10,696.85 = 4,214.60 : x
  2. Step 2: Convert to fraction form
    7,751.38/10,696.85 = 4,214.60/x
  3. Step 3: Cross multiply
    7,751.38x = 10,696.85 × 4,214.60
  4. Step 4: Simplify right side
    7,751.38x = 45,082,890.53
  5. Step 5: Solve for x
    x = 45,082,890.53/7,751.38
  6. Step 6: Final answer
    x = 5,816.11

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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.