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Finding the Fourth Proportional to 8,299.10, 11,452.56 and 4,762.10

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Solution

The fourth proportional to 8,299.10, 11,452.56 and 4,762.10 is: 6,571.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,299.10 : 11,452.56 = 4,762.10 : x
  2. Step 2: Convert to fraction form
    8,299.10/11,452.56 = 4,762.10/x
  3. Step 3: Cross multiply
    8,299.10x = 11,452.56 × 4,762.10
  4. Step 4: Simplify right side
    8,299.10x = 54,538,235.98
  5. Step 5: Solve for x
    x = 54,538,235.98/8,299.10
  6. Step 6: Final answer
    x = 6,571.58

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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.