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Finding the Fourth Proportional to 11,930.90, 16,457.28 and 7,680.56

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Solution

The fourth proportional to 11,930.90, 16,457.28 and 7,680.56 is: 10,594.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,930.90 : 16,457.28 = 7,680.56 : x
  2. Step 2: Convert to fraction form
    11,930.90/16,457.28 = 7,680.56/x
  3. Step 3: Cross multiply
    11,930.90x = 16,457.28 × 7,680.56
  4. Step 4: Simplify right side
    11,930.90x = 126,401,126.48
  5. Step 5: Solve for x
    x = 126,401,126.48/11,930.90
  6. Step 6: Final answer
    x = 10,594.43

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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.