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Finding the Fourth Proportional to 8,234.60, 11,364.39 and 4,698.05

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Solution

The fourth proportional to 8,234.60, 11,364.39 and 4,698.05 is: 6,483.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.60 : 11,364.39 = 4,698.05 : x
  2. Step 2: Convert to fraction form
    8,234.60/11,364.39 = 4,698.05/x
  3. Step 3: Cross multiply
    8,234.60x = 11,364.39 × 4,698.05
  4. Step 4: Simplify right side
    8,234.60x = 53,390,415.62
  5. Step 5: Solve for x
    x = 53,390,415.62/8,234.60
  6. Step 6: Final answer
    x = 6,483.67

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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.