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Finding the Fourth Proportional to 11,537.64, 15,922.27 and 6,433.27

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Solution

The fourth proportional to 11,537.64, 15,922.27 and 6,433.27 is: 8,878.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,537.64 : 15,922.27 = 6,433.27 : x
  2. Step 2: Convert to fraction form
    11,537.64/15,922.27 = 6,433.27/x
  3. Step 3: Cross multiply
    11,537.64x = 15,922.27 × 6,433.27
  4. Step 4: Simplify right side
    11,537.64x = 102,432,319.72
  5. Step 5: Solve for x
    x = 102,432,319.72/11,537.64
  6. Step 6: Final answer
    x = 8,878.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.