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Finding the Fourth Proportional to 7,638.72, 11,457.88 and 2,092.40

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Solution

The fourth proportional to 7,638.72, 11,457.88 and 2,092.40 is: 3,138.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,638.72 : 11,457.88 = 2,092.40 : x
  2. Step 2: Convert to fraction form
    7,638.72/11,457.88 = 2,092.40/x
  3. Step 3: Cross multiply
    7,638.72x = 11,457.88 × 2,092.40
  4. Step 4: Simplify right side
    7,638.72x = 23,974,468.11
  5. Step 5: Solve for x
    x = 23,974,468.11/7,638.72
  6. Step 6: Final answer
    x = 3,138.55

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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.