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Finding the Fourth Proportional to 11,968.40, 16,516.16 and 6,663.32

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Solution

The fourth proportional to 11,968.40, 16,516.16 and 6,663.32 is: 9,195.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,968.40 : 16,516.16 = 6,663.32 : x
  2. Step 2: Convert to fraction form
    11,968.40/16,516.16 = 6,663.32/x
  3. Step 3: Cross multiply
    11,968.40x = 16,516.16 × 6,663.32
  4. Step 4: Simplify right side
    11,968.40x = 110,052,459.25
  5. Step 5: Solve for x
    x = 110,052,459.25/11,968.40
  6. Step 6: Final answer
    x = 9,195.25

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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.