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Finding the Fourth Proportional to 11,644.86, 16,070.33 and 6,339.86

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Solution

The fourth proportional to 11,644.86, 16,070.33 and 6,339.86 is: 8,749.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,644.86 : 16,070.33 = 6,339.86 : x
  2. Step 2: Convert to fraction form
    11,644.86/16,070.33 = 6,339.86/x
  3. Step 3: Cross multiply
    11,644.86x = 16,070.33 × 6,339.86
  4. Step 4: Simplify right side
    11,644.86x = 101,883,642.35
  5. Step 5: Solve for x
    x = 101,883,642.35/11,644.86
  6. Step 6: Final answer
    x = 8,749.24

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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.