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Finding the Fourth Proportional to 7,751.45, 10,696.87 and 4,214.75

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Solution

The fourth proportional to 7,751.45, 10,696.87 and 4,214.75 is: 5,816.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,751.45 : 10,696.87 = 4,214.75 : x
  2. Step 2: Convert to fraction form
    7,751.45/10,696.87 = 4,214.75/x
  3. Step 3: Cross multiply
    7,751.45x = 10,696.87 × 4,214.75
  4. Step 4: Simplify right side
    7,751.45x = 45,084,632.83
  5. Step 5: Solve for x
    x = 45,084,632.83/7,751.45
  6. Step 6: Final answer
    x = 5,816.28

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