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Finding the Fourth Proportional to 7,696.71, 10,626.05 and 5,048.72

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Solution

The fourth proportional to 7,696.71, 10,626.05 and 5,048.72 is: 6,970.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,696.71 : 10,626.05 = 5,048.72 : x
  2. Step 2: Convert to fraction form
    7,696.71/10,626.05 = 5,048.72/x
  3. Step 3: Cross multiply
    7,696.71x = 10,626.05 × 5,048.72
  4. Step 4: Simplify right side
    7,696.71x = 53,647,951.16
  5. Step 5: Solve for x
    x = 53,647,951.16/7,696.71
  6. Step 6: Final answer
    x = 6,970.24

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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.