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Finding the Fourth Proportional to 8,299.30, 11,453.06 and 4,762.28

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Solution

The fourth proportional to 8,299.30, 11,453.06 and 4,762.28 is: 6,571.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,299.30 : 11,453.06 = 4,762.28 : x
  2. Step 2: Convert to fraction form
    8,299.30/11,453.06 = 4,762.28/x
  3. Step 3: Cross multiply
    8,299.30x = 11,453.06 × 4,762.28
  4. Step 4: Simplify right side
    8,299.30x = 54,542,678.58
  5. Step 5: Solve for x
    x = 54,542,678.58/8,299.30
  6. Step 6: Final answer
    x = 6,571.96

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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.