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Finding the Fourth Proportional to 8,230, 11,357.64 and 4,504.24

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Solution

The fourth proportional to 8,230, 11,357.64 and 4,504.24 is: 6,215.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,230 : 11,357.64 = 4,504.24 : x
  2. Step 2: Convert to fraction form
    8,230/11,357.64 = 4,504.24/x
  3. Step 3: Cross multiply
    8,230x = 11,357.64 × 4,504.24
  4. Step 4: Simplify right side
    8,230x = 51,157,536.39
  5. Step 5: Solve for x
    x = 51,157,536.39/8,230
  6. Step 6: Final answer
    x = 6,215.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.