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Finding the Fourth Proportional to 7,751.27, 10,696.30 and 4,214.45

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Solution

The fourth proportional to 7,751.27, 10,696.30 and 4,214.45 is: 5,815.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,751.27 : 10,696.30 = 4,214.45 : x
  2. Step 2: Convert to fraction form
    7,751.27/10,696.30 = 4,214.45/x
  3. Step 3: Cross multiply
    7,751.27x = 10,696.30 × 4,214.45
  4. Step 4: Simplify right side
    7,751.27x = 45,078,946.98
  5. Step 5: Solve for x
    x = 45,078,946.98/7,751.27
  6. Step 6: Final answer
    x = 5,815.69

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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.