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Finding the Fourth Proportional to 12,296.28, 16,968.96 and 6,707.28

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Solution

The fourth proportional to 12,296.28, 16,968.96 and 6,707.28 is: 9,256.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,296.28 : 16,968.96 = 6,707.28 : x
  2. Step 2: Convert to fraction form
    12,296.28/16,968.96 = 6,707.28/x
  3. Step 3: Cross multiply
    12,296.28x = 16,968.96 × 6,707.28
  4. Step 4: Simplify right side
    12,296.28x = 113,815,566.03
  5. Step 5: Solve for x
    x = 113,815,566.03/12,296.28
  6. Step 6: Final answer
    x = 9,256.10

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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.