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Finding the Fourth Proportional to 11,631.78, 16,051.68 and 6,326.48

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Solution

The fourth proportional to 11,631.78, 16,051.68 and 6,326.48 is: 8,730.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,631.78 : 16,051.68 = 6,326.48 : x
  2. Step 2: Convert to fraction form
    11,631.78/16,051.68 = 6,326.48/x
  3. Step 3: Cross multiply
    11,631.78x = 16,051.68 × 6,326.48
  4. Step 4: Simplify right side
    11,631.78x = 101,550,552.23
  5. Step 5: Solve for x
    x = 101,550,552.23/11,631.78
  6. Step 6: Final answer
    x = 8,730.44

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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.