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Finding the Fourth Proportional to 8,234.34, 11,364.03 and 4,698.60

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Solution

The fourth proportional to 8,234.34, 11,364.03 and 4,698.60 is: 6,484.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.34 : 11,364.03 = 4,698.60 : x
  2. Step 2: Convert to fraction form
    8,234.34/11,364.03 = 4,698.60/x
  3. Step 3: Cross multiply
    8,234.34x = 11,364.03 × 4,698.60
  4. Step 4: Simplify right side
    8,234.34x = 53,395,031.36
  5. Step 5: Solve for x
    x = 53,395,031.36/8,234.34
  6. Step 6: Final answer
    x = 6,484.43

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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.