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Finding the Fourth Proportional to 7,225.77, 10,844.82 and 2,846.31

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Solution

The fourth proportional to 7,225.77, 10,844.82 and 2,846.31 is: 4,271.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,225.77 : 10,844.82 = 2,846.31 : x
  2. Step 2: Convert to fraction form
    7,225.77/10,844.82 = 2,846.31/x
  3. Step 3: Cross multiply
    7,225.77x = 10,844.82 × 2,846.31
  4. Step 4: Simplify right side
    7,225.77x = 30,867,719.61
  5. Step 5: Solve for x
    x = 30,867,719.61/7,225.77
  6. Step 6: Final answer
    x = 4,271.89

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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.