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Finding the Fourth Proportional to 10,891.80, 16,340.01 and 6,214.05

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Solution

The fourth proportional to 10,891.80, 16,340.01 and 6,214.05 is: 9,322.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,891.80 : 16,340.01 = 6,214.05 : x
  2. Step 2: Convert to fraction form
    10,891.80/16,340.01 = 6,214.05/x
  3. Step 3: Cross multiply
    10,891.80x = 16,340.01 × 6,214.05
  4. Step 4: Simplify right side
    10,891.80x = 101,537,639.14
  5. Step 5: Solve for x
    x = 101,537,639.14/10,891.80
  6. Step 6: Final answer
    x = 9,322.39

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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.