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Finding the Fourth Proportional to 10,382.63, 14,329.64 and 6,193.31

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Solution

The fourth proportional to 10,382.63, 14,329.64 and 6,193.31 is: 8,547.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,382.63 : 14,329.64 = 6,193.31 : x
  2. Step 2: Convert to fraction form
    10,382.63/14,329.64 = 6,193.31/x
  3. Step 3: Cross multiply
    10,382.63x = 14,329.64 × 6,193.31
  4. Step 4: Simplify right side
    10,382.63x = 88,747,846.54
  5. Step 5: Solve for x
    x = 88,747,846.54/10,382.63
  6. Step 6: Final answer
    x = 8,547.73

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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.