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Finding the Fourth Proportional to 11,338.56, 15,647.28 and 6,302.80

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Solution

The fourth proportional to 11,338.56, 15,647.28 and 6,302.80 is: 8,697.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,338.56 : 15,647.28 = 6,302.80 : x
  2. Step 2: Convert to fraction form
    11,338.56/15,647.28 = 6,302.80/x
  3. Step 3: Cross multiply
    11,338.56x = 15,647.28 × 6,302.80
  4. Step 4: Simplify right side
    11,338.56x = 98,621,676.38
  5. Step 5: Solve for x
    x = 98,621,676.38/11,338.56
  6. Step 6: Final answer
    x = 8,697.90

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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.