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Finding the Fourth Proportional to 11,646.96, 16,072.71 and 6,341.76

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Solution

The fourth proportional to 11,646.96, 16,072.71 and 6,341.76 is: 8,751.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,646.96 : 16,072.71 = 6,341.76 : x
  2. Step 2: Convert to fraction form
    11,646.96/16,072.71 = 6,341.76/x
  3. Step 3: Cross multiply
    11,646.96x = 16,072.71 × 6,341.76
  4. Step 4: Simplify right side
    11,646.96x = 101,929,245.59
  5. Step 5: Solve for x
    x = 101,929,245.59/11,646.96
  6. Step 6: Final answer
    x = 8,751.58

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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.