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Finding the Fourth Proportional to 7,967.00, 11,957.78 and 4,074.14

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Solution

The fourth proportional to 7,967.00, 11,957.78 and 4,074.14 is: 6,114.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,967.00 : 11,957.78 = 4,074.14 : x
  2. Step 2: Convert to fraction form
    7,967.00/11,957.78 = 4,074.14/x
  3. Step 3: Cross multiply
    7,967.00x = 11,957.78 × 4,074.14
  4. Step 4: Simplify right side
    7,967.00x = 48,717,620.21
  5. Step 5: Solve for x
    x = 48,717,620.21/7,967.00
  6. Step 6: Final answer
    x = 6,114.93

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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.