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Finding the Fourth Proportional to 7,201.98, 10,804.68 and 2,271.51

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Solution

The fourth proportional to 7,201.98, 10,804.68 and 2,271.51 is: 3,407.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,201.98 : 10,804.68 = 2,271.51 : x
  2. Step 2: Convert to fraction form
    7,201.98/10,804.68 = 2,271.51/x
  3. Step 3: Cross multiply
    7,201.98x = 10,804.68 × 2,271.51
  4. Step 4: Simplify right side
    7,201.98x = 24,542,938.67
  5. Step 5: Solve for x
    x = 24,542,938.67/7,201.98
  6. Step 6: Final answer
    x = 3,407.80

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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.