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Finding the Fourth Proportional to 7,971.36, 11,958.20 and 2,776

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Solution

The fourth proportional to 7,971.36, 11,958.20 and 2,776 is: 4,164.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,971.36 : 11,958.20 = 2,776 : x
  2. Step 2: Convert to fraction form
    7,971.36/11,958.20 = 2,776/x
  3. Step 3: Cross multiply
    7,971.36x = 11,958.20 × 2,776
  4. Step 4: Simplify right side
    7,971.36x = 33,195,963.20
  5. Step 5: Solve for x
    x = 33,195,963.20/7,971.36
  6. Step 6: Final answer
    x = 4,164.40

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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.