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Finding the Fourth Proportional to 7,286.94, 10,930.34 and 2,356.47

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Solution

The fourth proportional to 7,286.94, 10,930.34 and 2,356.47 is: 3,534.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,286.94 : 10,930.34 = 2,356.47 : x
  2. Step 2: Convert to fraction form
    7,286.94/10,930.34 = 2,356.47/x
  3. Step 3: Cross multiply
    7,286.94x = 10,930.34 × 2,356.47
  4. Step 4: Simplify right side
    7,286.94x = 25,757,024.19
  5. Step 5: Solve for x
    x = 25,757,024.19/7,286.94
  6. Step 6: Final answer
    x = 3,534.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.