Home / 7,826.83-11,740.68-1,983.49

Finding the Fourth Proportional to 7,826.83, 11,740.68 and 1,983.49

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Solution

The fourth proportional to 7,826.83, 11,740.68 and 1,983.49 is: 2,975.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,826.83 : 11,740.68 = 1,983.49 : x
  2. Step 2: Convert to fraction form
    7,826.83/11,740.68 = 1,983.49/x
  3. Step 3: Cross multiply
    7,826.83x = 11,740.68 × 1,983.49
  4. Step 4: Simplify right side
    7,826.83x = 23,287,521.37
  5. Step 5: Solve for x
    x = 23,287,521.37/7,826.83
  6. Step 6: Final answer
    x = 2,975.35

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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.