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Finding the Fourth Proportional to 7,974.96, 11,957.04 and 2,778

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Solution

The fourth proportional to 7,974.96, 11,957.04 and 2,778 is: 4,165.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,974.96 : 11,957.04 = 2,778 : x
  2. Step 2: Convert to fraction form
    7,974.96/11,957.04 = 2,778/x
  3. Step 3: Cross multiply
    7,974.96x = 11,957.04 × 2,778
  4. Step 4: Simplify right side
    7,974.96x = 33,216,657.12
  5. Step 5: Solve for x
    x = 33,216,657.12/7,974.96
  6. Step 6: Final answer
    x = 4,165.12

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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.