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Finding the Fourth Proportional to 8,354.62, 11,529.38 and 4,578.02

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Solution

The fourth proportional to 8,354.62, 11,529.38 and 4,578.02 is: 6,317.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,354.62 : 11,529.38 = 4,578.02 : x
  2. Step 2: Convert to fraction form
    8,354.62/11,529.38 = 4,578.02/x
  3. Step 3: Cross multiply
    8,354.62x = 11,529.38 × 4,578.02
  4. Step 4: Simplify right side
    8,354.62x = 52,781,732.23
  5. Step 5: Solve for x
    x = 52,781,732.23/8,354.62
  6. Step 6: Final answer
    x = 6,317.67

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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.