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Finding the Fourth Proportional to 8,299.02, 11,452.75 and 4,762.56

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Solution

The fourth proportional to 8,299.02, 11,452.75 and 4,762.56 is: 6,572.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,299.02 : 11,452.75 = 4,762.56 : x
  2. Step 2: Convert to fraction form
    8,299.02/11,452.75 = 4,762.56/x
  3. Step 3: Cross multiply
    8,299.02x = 11,452.75 × 4,762.56
  4. Step 4: Simplify right side
    8,299.02x = 54,544,409.04
  5. Step 5: Solve for x
    x = 54,544,409.04/8,299.02
  6. Step 6: Final answer
    x = 6,572.39

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Why These Related Problems?

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