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Finding the Fourth Proportional to 8,544.96, 12,822.24 and 4,162.32

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Solution

The fourth proportional to 8,544.96, 12,822.24 and 4,162.32 is: 6,245.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,544.96 : 12,822.24 = 4,162.32 : x
  2. Step 2: Convert to fraction form
    8,544.96/12,822.24 = 4,162.32/x
  3. Step 3: Cross multiply
    8,544.96x = 12,822.24 × 4,162.32
  4. Step 4: Simplify right side
    8,544.96x = 53,370,266.00
  5. Step 5: Solve for x
    x = 53,370,266.00/8,544.96
  6. Step 6: Final answer
    x = 6,245.82

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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.