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Finding the Fourth Proportional to 8,416.84, 11,615.25 and 5,059.69

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Solution

The fourth proportional to 8,416.84, 11,615.25 and 5,059.69 is: 6,982.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,416.84 : 11,615.25 = 5,059.69 : x
  2. Step 2: Convert to fraction form
    8,416.84/11,615.25 = 5,059.69/x
  3. Step 3: Cross multiply
    8,416.84x = 11,615.25 × 5,059.69
  4. Step 4: Simplify right side
    8,416.84x = 58,769,564.27
  5. Step 5: Solve for x
    x = 58,769,564.27/8,416.84
  6. Step 6: Final answer
    x = 6,982.38

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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.