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Finding the Fourth Proportional to 11,693.76, 17,540.16 and 6,496.32

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Solution

The fourth proportional to 11,693.76, 17,540.16 and 6,496.32 is: 9,744.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,693.76 : 17,540.16 = 6,496.32 : x
  2. Step 2: Convert to fraction form
    11,693.76/17,540.16 = 6,496.32/x
  3. Step 3: Cross multiply
    11,693.76x = 17,540.16 × 6,496.32
  4. Step 4: Simplify right side
    11,693.76x = 113,946,492.21
  5. Step 5: Solve for x
    x = 113,946,492.21/11,693.76
  6. Step 6: Final answer
    x = 9,744.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.