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Finding the Fourth Proportional to 7,638.37, 11,432.02 and 4,350.58

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Solution

The fourth proportional to 7,638.37, 11,432.02 and 4,350.58 is: 6,511.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,638.37 : 11,432.02 = 4,350.58 : x
  2. Step 2: Convert to fraction form
    7,638.37/11,432.02 = 4,350.58/x
  3. Step 3: Cross multiply
    7,638.37x = 11,432.02 × 4,350.58
  4. Step 4: Simplify right side
    7,638.37x = 49,735,917.57
  5. Step 5: Solve for x
    x = 49,735,917.57/7,638.37
  6. Step 6: Final answer
    x = 6,511.33

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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.