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Finding the Fourth Proportional to 11,830.75, 16,325.73 and 7,056.07

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Solution

The fourth proportional to 11,830.75, 16,325.73 and 7,056.07 is: 9,736.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,830.75 : 16,325.73 = 7,056.07 : x
  2. Step 2: Convert to fraction form
    11,830.75/16,325.73 = 7,056.07/x
  3. Step 3: Cross multiply
    11,830.75x = 16,325.73 × 7,056.07
  4. Step 4: Simplify right side
    11,830.75x = 115,195,493.68
  5. Step 5: Solve for x
    x = 115,195,493.68/11,830.75
  6. Step 6: Final answer
    x = 9,736.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.