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Finding the Fourth Proportional to 8,356.83, 11,532.75 and 4,772.37

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Solution

The fourth proportional to 8,356.83, 11,532.75 and 4,772.37 is: 6,586.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,356.83 : 11,532.75 = 4,772.37 : x
  2. Step 2: Convert to fraction form
    8,356.83/11,532.75 = 4,772.37/x
  3. Step 3: Cross multiply
    8,356.83x = 11,532.75 × 4,772.37
  4. Step 4: Simplify right side
    8,356.83x = 55,038,555.09
  5. Step 5: Solve for x
    x = 55,038,555.09/8,356.83
  6. Step 6: Final answer
    x = 6,586.06

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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.