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Finding the Fourth Proportional to 8,441.83, 12,639.95 and 5,662.52

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Solution

The fourth proportional to 8,441.83, 12,639.95 and 5,662.52 is: 8,478.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,441.83 : 12,639.95 = 5,662.52 : x
  2. Step 2: Convert to fraction form
    8,441.83/12,639.95 = 5,662.52/x
  3. Step 3: Cross multiply
    8,441.83x = 12,639.95 × 5,662.52
  4. Step 4: Simplify right side
    8,441.83x = 71,573,969.67
  5. Step 5: Solve for x
    x = 71,573,969.67/8,441.83
  6. Step 6: Final answer
    x = 8,478.49

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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.