Home / 7,828.17-11,742.23-1,984.76

Finding the Fourth Proportional to 7,828.17, 11,742.23 and 1,984.76

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Solution

The fourth proportional to 7,828.17, 11,742.23 and 1,984.76 is: 2,977.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,828.17 : 11,742.23 = 1,984.76 : x
  2. Step 2: Convert to fraction form
    7,828.17/11,742.23 = 1,984.76/x
  3. Step 3: Cross multiply
    7,828.17x = 11,742.23 × 1,984.76
  4. Step 4: Simplify right side
    7,828.17x = 23,305,542.73
  5. Step 5: Solve for x
    x = 23,305,542.73/7,828.17
  6. Step 6: Final answer
    x = 2,977.14

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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.