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Finding the Fourth Proportional to 7,288.50, 10,930.44 and 2,356.94

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Solution

The fourth proportional to 7,288.50, 10,930.44 and 2,356.94 is: 3,534.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,288.50 : 10,930.44 = 2,356.94 : x
  2. Step 2: Convert to fraction form
    7,288.50/10,930.44 = 2,356.94/x
  3. Step 3: Cross multiply
    7,288.50x = 10,930.44 × 2,356.94
  4. Step 4: Simplify right side
    7,288.50x = 25,762,391.25
  5. Step 5: Solve for x
    x = 25,762,391.25/7,288.50
  6. Step 6: Final answer
    x = 3,534.66

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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.