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Finding the Fourth Proportional to 8,259, 11,394.66 and 4,673.46

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Solution

The fourth proportional to 8,259, 11,394.66 and 4,673.46 is: 6,447.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,259 : 11,394.66 = 4,673.46 : x
  2. Step 2: Convert to fraction form
    8,259/11,394.66 = 4,673.46/x
  3. Step 3: Cross multiply
    8,259x = 11,394.66 × 4,673.46
  4. Step 4: Simplify right side
    8,259x = 53,252,487.72
  5. Step 5: Solve for x
    x = 53,252,487.72/8,259
  6. Step 6: Final answer
    x = 6,447.81

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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.