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Finding the Fourth Proportional to 11,676.36, 16,113.86 and 6,641.47

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Solution

The fourth proportional to 11,676.36, 16,113.86 and 6,641.47 is: 9,165.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,676.36 : 16,113.86 = 6,641.47 : x
  2. Step 2: Convert to fraction form
    11,676.36/16,113.86 = 6,641.47/x
  3. Step 3: Cross multiply
    11,676.36x = 16,113.86 × 6,641.47
  4. Step 4: Simplify right side
    11,676.36x = 107,019,717.77
  5. Step 5: Solve for x
    x = 107,019,717.77/11,676.36
  6. Step 6: Final answer
    x = 9,165.50

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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.