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Finding the Fourth Proportional to 6,889.65, 10,334.47 and 2,507.14

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Solution

The fourth proportional to 6,889.65, 10,334.47 and 2,507.14 is: 3,760.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,889.65 : 10,334.47 = 2,507.14 : x
  2. Step 2: Convert to fraction form
    6,889.65/10,334.47 = 2,507.14/x
  3. Step 3: Cross multiply
    6,889.65x = 10,334.47 × 2,507.14
  4. Step 4: Simplify right side
    6,889.65x = 25,909,963.12
  5. Step 5: Solve for x
    x = 25,909,963.12/6,889.65
  6. Step 6: Final answer
    x = 3,760.71

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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.