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Finding the Fourth Proportional to 7,237.71, 10,857.17 and 2,306.03

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Solution

The fourth proportional to 7,237.71, 10,857.17 and 2,306.03 is: 3,459.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,237.71 : 10,857.17 = 2,306.03 : x
  2. Step 2: Convert to fraction form
    7,237.71/10,857.17 = 2,306.03/x
  3. Step 3: Cross multiply
    7,237.71x = 10,857.17 × 2,306.03
  4. Step 4: Simplify right side
    7,237.71x = 25,036,911.21
  5. Step 5: Solve for x
    x = 25,036,911.21/7,237.71
  6. Step 6: Final answer
    x = 3,459.23

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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.