Home / 7,826.84-11,742.19-2,280.24

Finding the Fourth Proportional to 7,826.84, 11,742.19 and 2,280.24

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Solution

The fourth proportional to 7,826.84, 11,742.19 and 2,280.24 is: 3,420.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,826.84 : 11,742.19 = 2,280.24 : x
  2. Step 2: Convert to fraction form
    7,826.84/11,742.19 = 2,280.24/x
  3. Step 3: Cross multiply
    7,826.84x = 11,742.19 × 2,280.24
  4. Step 4: Simplify right side
    7,826.84x = 26,775,005.63
  5. Step 5: Solve for x
    x = 26,775,005.63/7,826.84
  6. Step 6: Final answer
    x = 3,420.92

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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.