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Finding the Fourth Proportional to 8,609.79, 12,914.69 and 3,415.67

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Solution

The fourth proportional to 8,609.79, 12,914.69 and 3,415.67 is: 5,123.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,609.79 : 12,914.69 = 3,415.67 : x
  2. Step 2: Convert to fraction form
    8,609.79/12,914.69 = 3,415.67/x
  3. Step 3: Cross multiply
    8,609.79x = 12,914.69 × 3,415.67
  4. Step 4: Simplify right side
    8,609.79x = 44,112,237.54
  5. Step 5: Solve for x
    x = 44,112,237.54/8,609.79
  6. Step 6: Final answer
    x = 5,123.50

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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.