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Finding the Fourth Proportional to 7,822.70, 10,795.54 and 4,466.06

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Solution

The fourth proportional to 7,822.70, 10,795.54 and 4,466.06 is: 6,163.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,822.70 : 10,795.54 = 4,466.06 : x
  2. Step 2: Convert to fraction form
    7,822.70/10,795.54 = 4,466.06/x
  3. Step 3: Cross multiply
    7,822.70x = 10,795.54 × 4,466.06
  4. Step 4: Simplify right side
    7,822.70x = 48,213,453.06
  5. Step 5: Solve for x
    x = 48,213,453.06/7,822.70
  6. Step 6: Final answer
    x = 6,163.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.