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Finding the Fourth Proportional to 7,225.70, 10,843.07 and 2,843.06

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Solution

The fourth proportional to 7,225.70, 10,843.07 and 2,843.06 is: 4,266.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,225.70 : 10,843.07 = 2,843.06 : x
  2. Step 2: Convert to fraction form
    7,225.70/10,843.07 = 2,843.06/x
  3. Step 3: Cross multiply
    7,225.70x = 10,843.07 × 2,843.06
  4. Step 4: Simplify right side
    7,225.70x = 30,827,430.16
  5. Step 5: Solve for x
    x = 30,827,430.16/7,225.70
  6. Step 6: Final answer
    x = 4,266.36

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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.