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Finding the Fourth Proportional to 8,473.92, 12,725.46 and 4,581.06

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Solution

The fourth proportional to 8,473.92, 12,725.46 and 4,581.06 is: 6,879.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,473.92 : 12,725.46 = 4,581.06 : x
  2. Step 2: Convert to fraction form
    8,473.92/12,725.46 = 4,581.06/x
  3. Step 3: Cross multiply
    8,473.92x = 12,725.46 × 4,581.06
  4. Step 4: Simplify right side
    8,473.92x = 58,296,095.79
  5. Step 5: Solve for x
    x = 58,296,095.79/8,473.92
  6. Step 6: Final answer
    x = 6,879.47

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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.