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Finding the Fourth Proportional to 7,751.14, 10,696.28 and 4,214.35

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Solution

The fourth proportional to 7,751.14, 10,696.28 and 4,214.35 is: 5,815.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,751.14 : 10,696.28 = 4,214.35 : x
  2. Step 2: Convert to fraction form
    7,751.14/10,696.28 = 4,214.35/x
  3. Step 3: Cross multiply
    7,751.14x = 10,696.28 × 4,214.35
  4. Step 4: Simplify right side
    7,751.14x = 45,077,859.92
  5. Step 5: Solve for x
    x = 45,077,859.92/7,751.14
  6. Step 6: Final answer
    x = 5,815.64

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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.