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Finding the Fourth Proportional to 10,507.94, 15,751.27 and 6,812.52

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Solution

The fourth proportional to 10,507.94, 15,751.27 and 6,812.52 is: 10,211.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,507.94 : 15,751.27 = 6,812.52 : x
  2. Step 2: Convert to fraction form
    10,507.94/15,751.27 = 6,812.52/x
  3. Step 3: Cross multiply
    10,507.94x = 15,751.27 × 6,812.52
  4. Step 4: Simplify right side
    10,507.94x = 107,305,763.14
  5. Step 5: Solve for x
    x = 107,305,763.14/10,507.94
  6. Step 6: Final answer
    x = 10,211.88

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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.