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Finding the Fourth Proportional to 7,633.86, 11,446.93 and 2,702.80

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Solution

The fourth proportional to 7,633.86, 11,446.93 and 2,702.80 is: 4,052.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,633.86 : 11,446.93 = 2,702.80 : x
  2. Step 2: Convert to fraction form
    7,633.86/11,446.93 = 2,702.80/x
  3. Step 3: Cross multiply
    7,633.86x = 11,446.93 × 2,702.80
  4. Step 4: Simplify right side
    7,633.86x = 30,938,762.40
  5. Step 5: Solve for x
    x = 30,938,762.40/7,633.86
  6. Step 6: Final answer
    x = 4,052.83

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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.