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Finding the Fourth Proportional to 7,638.90, 11,461.26 and 3,938.77

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Solution

The fourth proportional to 7,638.90, 11,461.26 and 3,938.77 is: 5,909.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,638.90 : 11,461.26 = 3,938.77 : x
  2. Step 2: Convert to fraction form
    7,638.90/11,461.26 = 3,938.77/x
  3. Step 3: Cross multiply
    7,638.90x = 11,461.26 × 3,938.77
  4. Step 4: Simplify right side
    7,638.90x = 45,143,296.15
  5. Step 5: Solve for x
    x = 45,143,296.15/7,638.90
  6. Step 6: Final answer
    x = 5,909.66

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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.