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Finding the Fourth Proportional to 11,657.21, 16,089.03 and 6,876.86

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Solution

The fourth proportional to 11,657.21, 16,089.03 and 6,876.86 is: 9,491.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,657.21 : 16,089.03 = 6,876.86 : x
  2. Step 2: Convert to fraction form
    11,657.21/16,089.03 = 6,876.86/x
  3. Step 3: Cross multiply
    11,657.21x = 16,089.03 × 6,876.86
  4. Step 4: Simplify right side
    11,657.21x = 110,642,006.85
  5. Step 5: Solve for x
    x = 110,642,006.85/11,657.21
  6. Step 6: Final answer
    x = 9,491.29

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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.