Home / 7,829.06-11,714.14-5,493.61

Finding the Fourth Proportional to 7,829.06, 11,714.14 and 5,493.61

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Solution

The fourth proportional to 7,829.06, 11,714.14 and 5,493.61 is: 8,219.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,829.06 : 11,714.14 = 5,493.61 : x
  2. Step 2: Convert to fraction form
    7,829.06/11,714.14 = 5,493.61/x
  3. Step 3: Cross multiply
    7,829.06x = 11,714.14 × 5,493.61
  4. Step 4: Simplify right side
    7,829.06x = 64,352,986.55
  5. Step 5: Solve for x
    x = 64,352,986.55/7,829.06
  6. Step 6: Final answer
    x = 8,219.76

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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.