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Finding the Fourth Proportional to 7,905.60, 11,857.21 and 2,974.09

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Solution

The fourth proportional to 7,905.60, 11,857.21 and 2,974.09 is: 4,460.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,905.60 : 11,857.21 = 2,974.09 : x
  2. Step 2: Convert to fraction form
    7,905.60/11,857.21 = 2,974.09/x
  3. Step 3: Cross multiply
    7,905.60x = 11,857.21 × 2,974.09
  4. Step 4: Simplify right side
    7,905.60x = 35,264,409.69
  5. Step 5: Solve for x
    x = 35,264,409.69/7,905.60
  6. Step 6: Final answer
    x = 4,460.69

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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.