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Finding the Fourth Proportional to 11,650.70, 16,077.35 and 6,614.80

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Solution

The fourth proportional to 11,650.70, 16,077.35 and 6,614.80 is: 9,128.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,650.70 : 16,077.35 = 6,614.80 : x
  2. Step 2: Convert to fraction form
    11,650.70/16,077.35 = 6,614.80/x
  3. Step 3: Cross multiply
    11,650.70x = 16,077.35 × 6,614.80
  4. Step 4: Simplify right side
    11,650.70x = 106,348,431.12
  5. Step 5: Solve for x
    x = 106,348,431.12/11,650.70
  6. Step 6: Final answer
    x = 9,128.07

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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.