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Finding the Fourth Proportional to 11,359.20, 15,676.68 and 6,325.20

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Solution

The fourth proportional to 11,359.20, 15,676.68 and 6,325.20 is: 8,729.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,359.20 : 15,676.68 = 6,325.20 : x
  2. Step 2: Convert to fraction form
    11,359.20/15,676.68 = 6,325.20/x
  3. Step 3: Cross multiply
    11,359.20x = 15,676.68 × 6,325.20
  4. Step 4: Simplify right side
    11,359.20x = 99,158,136.34
  5. Step 5: Solve for x
    x = 99,158,136.34/11,359.20
  6. Step 6: Final answer
    x = 8,729.32

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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.