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Finding the Fourth Proportional to 10,725.32, 14,798.83 and 6,744.12

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Solution

The fourth proportional to 10,725.32, 14,798.83 and 6,744.12 is: 9,305.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,725.32 : 14,798.83 = 6,744.12 : x
  2. Step 2: Convert to fraction form
    10,725.32/14,798.83 = 6,744.12/x
  3. Step 3: Cross multiply
    10,725.32x = 14,798.83 × 6,744.12
  4. Step 4: Simplify right side
    10,725.32x = 99,805,085.38
  5. Step 5: Solve for x
    x = 99,805,085.38/10,725.32
  6. Step 6: Final answer
    x = 9,305.56

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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.