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Finding the Fourth Proportional to 7,237.94, 10,857.69 and 2,306.43

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Solution

The fourth proportional to 7,237.94, 10,857.69 and 2,306.43 is: 3,459.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,237.94 : 10,857.69 = 2,306.43 : x
  2. Step 2: Convert to fraction form
    7,237.94/10,857.69 = 2,306.43/x
  3. Step 3: Cross multiply
    7,237.94x = 10,857.69 × 2,306.43
  4. Step 4: Simplify right side
    7,237.94x = 25,042,501.95
  5. Step 5: Solve for x
    x = 25,042,501.95/7,237.94
  6. Step 6: Final answer
    x = 3,459.90

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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.