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Finding the Fourth Proportional to 8,698.65, 13,042.43 and 5,733.67

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Solution

The fourth proportional to 8,698.65, 13,042.43 and 5,733.67 is: 8,596.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,698.65 : 13,042.43 = 5,733.67 : x
  2. Step 2: Convert to fraction form
    8,698.65/13,042.43 = 5,733.67/x
  3. Step 3: Cross multiply
    8,698.65x = 13,042.43 × 5,733.67
  4. Step 4: Simplify right side
    8,698.65x = 74,780,960.95
  5. Step 5: Solve for x
    x = 74,780,960.95/8,698.65
  6. Step 6: Final answer
    x = 8,596.85

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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.