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Finding the Fourth Proportional to 10,731.97, 14,810.06 and 6,758.31

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Solution

The fourth proportional to 10,731.97, 14,810.06 and 6,758.31 is: 9,326.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,731.97 : 14,810.06 = 6,758.31 : x
  2. Step 2: Convert to fraction form
    10,731.97/14,810.06 = 6,758.31/x
  3. Step 3: Cross multiply
    10,731.97x = 14,810.06 × 6,758.31
  4. Step 4: Simplify right side
    10,731.97x = 100,090,993.49
  5. Step 5: Solve for x
    x = 100,090,993.49/10,731.97
  6. Step 6: Final answer
    x = 9,326.43

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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.