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Finding the Fourth Proportional to 7,944.25, 11,956.30 and 5,980.06

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Solution

The fourth proportional to 7,944.25, 11,956.30 and 5,980.06 is: 9,000.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,944.25 : 11,956.30 = 5,980.06 : x
  2. Step 2: Convert to fraction form
    7,944.25/11,956.30 = 5,980.06/x
  3. Step 3: Cross multiply
    7,944.25x = 11,956.30 × 5,980.06
  4. Step 4: Simplify right side
    7,944.25x = 71,499,391.38
  5. Step 5: Solve for x
    x = 71,499,391.38/7,944.25
  6. Step 6: Final answer
    x = 9,000.14

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.