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Finding the Fourth Proportional to 11,331.30, 15,636.96 and 6,853.44

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Solution

The fourth proportional to 11,331.30, 15,636.96 and 6,853.44 is: 9,457.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,331.30 : 15,636.96 = 6,853.44 : x
  2. Step 2: Convert to fraction form
    11,331.30/15,636.96 = 6,853.44/x
  3. Step 3: Cross multiply
    11,331.30x = 15,636.96 × 6,853.44
  4. Step 4: Simplify right side
    11,331.30x = 107,166,967.14
  5. Step 5: Solve for x
    x = 107,166,967.14/11,331.30
  6. Step 6: Final answer
    x = 9,457.61

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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.