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Finding the Fourth Proportional to 7,237.97, 10,858.58 and 3,078.12

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Solution

The fourth proportional to 7,237.97, 10,858.58 and 3,078.12 is: 4,617.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,237.97 : 10,858.58 = 3,078.12 : x
  2. Step 2: Convert to fraction form
    7,237.97/10,858.58 = 3,078.12/x
  3. Step 3: Cross multiply
    7,237.97x = 10,858.58 × 3,078.12
  4. Step 4: Simplify right side
    7,237.97x = 33,424,012.27
  5. Step 5: Solve for x
    x = 33,424,012.27/7,237.97
  6. Step 6: Final answer
    x = 4,617.87

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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.