Home / 7,217.32-10,826.52-2,023

Finding the Fourth Proportional to 7,217.32, 10,826.52 and 2,023

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Solution

The fourth proportional to 7,217.32, 10,826.52 and 2,023 is: 3,034.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,217.32 : 10,826.52 = 2,023 : x
  2. Step 2: Convert to fraction form
    7,217.32/10,826.52 = 2,023/x
  3. Step 3: Cross multiply
    7,217.32x = 10,826.52 × 2,023
  4. Step 4: Simplify right side
    7,217.32x = 21,902,049.96
  5. Step 5: Solve for x
    x = 21,902,049.96/7,217.32
  6. Step 6: Final answer
    x = 3,034.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.