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Finding the Fourth Proportional to 7,638.36, 11,455.10 and 2,443

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Solution

The fourth proportional to 7,638.36, 11,455.10 and 2,443 is: 3,663.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,638.36 : 11,455.10 = 2,443 : x
  2. Step 2: Convert to fraction form
    7,638.36/11,455.10 = 2,443/x
  3. Step 3: Cross multiply
    7,638.36x = 11,455.10 × 2,443
  4. Step 4: Simplify right side
    7,638.36x = 27,984,809.30
  5. Step 5: Solve for x
    x = 27,984,809.30/7,638.36
  6. Step 6: Final answer
    x = 3,663.72

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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.