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Finding the Fourth Proportional to 7,833.44, 11,750.18 and 1,990.04

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Solution

The fourth proportional to 7,833.44, 11,750.18 and 1,990.04 is: 2,985.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,833.44 : 11,750.18 = 1,990.04 : x
  2. Step 2: Convert to fraction form
    7,833.44/11,750.18 = 1,990.04/x
  3. Step 3: Cross multiply
    7,833.44x = 11,750.18 × 1,990.04
  4. Step 4: Simplify right side
    7,833.44x = 23,383,328.21
  5. Step 5: Solve for x
    x = 23,383,328.21/7,833.44
  6. Step 6: Final answer
    x = 2,985.07

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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.