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Finding the Fourth Proportional to 8,544.48, 12,827.79 and 8,193.48

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Solution

The fourth proportional to 8,544.48, 12,827.79 and 8,193.48 is: 12,300.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,544.48 : 12,827.79 = 8,193.48 : x
  2. Step 2: Convert to fraction form
    8,544.48/12,827.79 = 8,193.48/x
  3. Step 3: Cross multiply
    8,544.48x = 12,827.79 × 8,193.48
  4. Step 4: Simplify right side
    8,544.48x = 105,104,240.81
  5. Step 5: Solve for x
    x = 105,104,240.81/8,544.48
  6. Step 6: Final answer
    x = 12,300.84

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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.