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Finding the Fourth Proportional to 7,638.90, 11,454.57 and 2,444.10

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Solution

The fourth proportional to 7,638.90, 11,454.57 and 2,444.10 is: 3,664.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,638.90 : 11,454.57 = 2,444.10 : x
  2. Step 2: Convert to fraction form
    7,638.90/11,454.57 = 2,444.10/x
  3. Step 3: Cross multiply
    7,638.90x = 11,454.57 × 2,444.10
  4. Step 4: Simplify right side
    7,638.90x = 27,996,114.54
  5. Step 5: Solve for x
    x = 27,996,114.54/7,638.90
  6. Step 6: Final answer
    x = 3,664.94

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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.