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Finding the Fourth Proportional to 10,713.13, 14,782 and 6,731.94

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Solution

The fourth proportional to 10,713.13, 14,782 and 6,731.94 is: 9,288.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,713.13 : 14,782 = 6,731.94 : x
  2. Step 2: Convert to fraction form
    10,713.13/14,782 = 6,731.94/x
  3. Step 3: Cross multiply
    10,713.13x = 14,782 × 6,731.94
  4. Step 4: Simplify right side
    10,713.13x = 99,511,537.08
  5. Step 5: Solve for x
    x = 99,511,537.08/10,713.13
  6. Step 6: Final answer
    x = 9,288.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.