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Finding the Fourth Proportional to 10,886.50, 16,329.83 and 2,678.50

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Solution

The fourth proportional to 10,886.50, 16,329.83 and 2,678.50 is: 4,017.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,886.50 : 16,329.83 = 2,678.50 : x
  2. Step 2: Convert to fraction form
    10,886.50/16,329.83 = 2,678.50/x
  3. Step 3: Cross multiply
    10,886.50x = 16,329.83 × 2,678.50
  4. Step 4: Simplify right side
    10,886.50x = 43,739,449.66
  5. Step 5: Solve for x
    x = 43,739,449.66/10,886.50
  6. Step 6: Final answer
    x = 4,017.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.