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Finding the Fourth Proportional to 11,623.26, 16,038.90 and 6,906.63

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Solution

The fourth proportional to 11,623.26, 16,038.90 and 6,906.63 is: 9,530.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,623.26 : 16,038.90 = 6,906.63 : x
  2. Step 2: Convert to fraction form
    11,623.26/16,038.90 = 6,906.63/x
  3. Step 3: Cross multiply
    11,623.26x = 16,038.90 × 6,906.63
  4. Step 4: Simplify right side
    11,623.26x = 110,774,747.91
  5. Step 5: Solve for x
    x = 110,774,747.91/11,623.26
  6. Step 6: Final answer
    x = 9,530.44

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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.