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Finding the Fourth Proportional to 11,600.79, 16,008.21 and 6,820.94

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Solution

The fourth proportional to 11,600.79, 16,008.21 and 6,820.94 is: 9,412.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,600.79 : 16,008.21 = 6,820.94 : x
  2. Step 2: Convert to fraction form
    11,600.79/16,008.21 = 6,820.94/x
  3. Step 3: Cross multiply
    11,600.79x = 16,008.21 × 6,820.94
  4. Step 4: Simplify right side
    11,600.79x = 109,190,959.88
  5. Step 5: Solve for x
    x = 109,190,959.88/11,600.79
  6. Step 6: Final answer
    x = 9,412.37

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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.