Home / 7,823.34-11,734.68-2,276.56

Finding the Fourth Proportional to 7,823.34, 11,734.68 and 2,276.56

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Solution

The fourth proportional to 7,823.34, 11,734.68 and 2,276.56 is: 3,414.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,823.34 : 11,734.68 = 2,276.56 : x
  2. Step 2: Convert to fraction form
    7,823.34/11,734.68 = 2,276.56/x
  3. Step 3: Cross multiply
    7,823.34x = 11,734.68 × 2,276.56
  4. Step 4: Simplify right side
    7,823.34x = 26,714,703.10
  5. Step 5: Solve for x
    x = 26,714,703.10/7,823.34
  6. Step 6: Final answer
    x = 3,414.74

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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.