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Finding the Fourth Proportional to 7,744.41, 10,696.05 and 5,103.54

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Solution

The fourth proportional to 7,744.41, 10,696.05 and 5,103.54 is: 7,048.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,744.41 : 10,696.05 = 5,103.54 : x
  2. Step 2: Convert to fraction form
    7,744.41/10,696.05 = 5,103.54/x
  3. Step 3: Cross multiply
    7,744.41x = 10,696.05 × 5,103.54
  4. Step 4: Simplify right side
    7,744.41x = 54,587,719.02
  5. Step 5: Solve for x
    x = 54,587,719.02/7,744.41
  6. Step 6: Final answer
    x = 7,048.66

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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.