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Finding the Fourth Proportional to 11,600.48, 16,008.71 and 6,295.29

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Solution

The fourth proportional to 11,600.48, 16,008.71 and 6,295.29 is: 8,687.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,600.48 : 16,008.71 = 6,295.29 : x
  2. Step 2: Convert to fraction form
    11,600.48/16,008.71 = 6,295.29/x
  3. Step 3: Cross multiply
    11,600.48x = 16,008.71 × 6,295.29
  4. Step 4: Simplify right side
    11,600.48x = 100,779,568.66
  5. Step 5: Solve for x
    x = 100,779,568.66/11,600.48
  6. Step 6: Final answer
    x = 8,687.54

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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.