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Finding the Fourth Proportional to 7,633.15, 11,453.02 and 4,122.46

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Solution

The fourth proportional to 7,633.15, 11,453.02 and 4,122.46 is: 6,185.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,633.15 : 11,453.02 = 4,122.46 : x
  2. Step 2: Convert to fraction form
    7,633.15/11,453.02 = 4,122.46/x
  3. Step 3: Cross multiply
    7,633.15x = 11,453.02 × 4,122.46
  4. Step 4: Simplify right side
    7,633.15x = 47,214,616.83
  5. Step 5: Solve for x
    x = 47,214,616.83/7,633.15
  6. Step 6: Final answer
    x = 6,185.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.