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Finding the Fourth Proportional to 8,816.54, 12,165.50 and 5,676.98

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Solution

The fourth proportional to 8,816.54, 12,165.50 and 5,676.98 is: 7,833.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,816.54 : 12,165.50 = 5,676.98 : x
  2. Step 2: Convert to fraction form
    8,816.54/12,165.50 = 5,676.98/x
  3. Step 3: Cross multiply
    8,816.54x = 12,165.50 × 5,676.98
  4. Step 4: Simplify right side
    8,816.54x = 69,063,300.19
  5. Step 5: Solve for x
    x = 69,063,300.19/8,816.54
  6. Step 6: Final answer
    x = 7,833.38

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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.