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Finding the Fourth Proportional to 10,930.98, 16,382.63 and 6,980.71

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Solution

The fourth proportional to 10,930.98, 16,382.63 and 6,980.71 is: 10,462.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,930.98 : 16,382.63 = 6,980.71 : x
  2. Step 2: Convert to fraction form
    10,930.98/16,382.63 = 6,980.71/x
  3. Step 3: Cross multiply
    10,930.98x = 16,382.63 × 6,980.71
  4. Step 4: Simplify right side
    10,930.98x = 114,362,399.68
  5. Step 5: Solve for x
    x = 114,362,399.68/10,930.98
  6. Step 6: Final answer
    x = 10,462.23

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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.