Home / 7,833.92-11,750.16-2,288.72

Finding the Fourth Proportional to 7,833.92, 11,750.16 and 2,288.72

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Solution

The fourth proportional to 7,833.92, 11,750.16 and 2,288.72 is: 3,432.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,833.92 : 11,750.16 = 2,288.72 : x
  2. Step 2: Convert to fraction form
    7,833.92/11,750.16 = 2,288.72/x
  3. Step 3: Cross multiply
    7,833.92x = 11,750.16 × 2,288.72
  4. Step 4: Simplify right side
    7,833.92x = 26,892,826.20
  5. Step 5: Solve for x
    x = 26,892,826.20/7,833.92
  6. Step 6: Final answer
    x = 3,432.87

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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.