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Finding the Fourth Proportional to 11,668.16, 17,502.40 and 3,460.16

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Solution

The fourth proportional to 11,668.16, 17,502.40 and 3,460.16 is: 5,190.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,668.16 : 17,502.40 = 3,460.16 : x
  2. Step 2: Convert to fraction form
    11,668.16/17,502.40 = 3,460.16/x
  3. Step 3: Cross multiply
    11,668.16x = 17,502.40 × 3,460.16
  4. Step 4: Simplify right side
    11,668.16x = 60,561,104.38
  5. Step 5: Solve for x
    x = 60,561,104.38/11,668.16
  6. Step 6: Final answer
    x = 5,190.29

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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.