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Finding the Fourth Proportional to 7,973.36, 11,961.20 and 2,778

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Solution

The fourth proportional to 7,973.36, 11,961.20 and 2,778 is: 4,167.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,973.36 : 11,961.20 = 2,778 : x
  2. Step 2: Convert to fraction form
    7,973.36/11,961.20 = 2,778/x
  3. Step 3: Cross multiply
    7,973.36x = 11,961.20 × 2,778
  4. Step 4: Simplify right side
    7,973.36x = 33,228,213.60
  5. Step 5: Solve for x
    x = 33,228,213.60/7,973.36
  6. Step 6: Final answer
    x = 4,167.40

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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.