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Finding the Fourth Proportional to 7,633.56, 10,533.46 and 4,447.53

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Solution

The fourth proportional to 7,633.56, 10,533.46 and 4,447.53 is: 6,137.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,633.56 : 10,533.46 = 4,447.53 : x
  2. Step 2: Convert to fraction form
    7,633.56/10,533.46 = 4,447.53/x
  3. Step 3: Cross multiply
    7,633.56x = 10,533.46 × 4,447.53
  4. Step 4: Simplify right side
    7,633.56x = 46,847,879.35
  5. Step 5: Solve for x
    x = 46,847,879.35/7,633.56
  6. Step 6: Final answer
    x = 6,137.09

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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.