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Finding the Fourth Proportional to 11,668.46, 17,502.42 and 6,507.14

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Solution

The fourth proportional to 11,668.46, 17,502.42 and 6,507.14 is: 9,760.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,668.46 : 17,502.42 = 6,507.14 : x
  2. Step 2: Convert to fraction form
    11,668.46/17,502.42 = 6,507.14/x
  3. Step 3: Cross multiply
    11,668.46x = 17,502.42 × 6,507.14
  4. Step 4: Simplify right side
    11,668.46x = 113,890,697.28
  5. Step 5: Solve for x
    x = 113,890,697.28/11,668.46
  6. Step 6: Final answer
    x = 9,760.56

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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.