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Finding the Fourth Proportional to 11,777.66, 17,668.41 and 3,457.95

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Solution

The fourth proportional to 11,777.66, 17,668.41 and 3,457.95 is: 5,187.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,777.66 : 17,668.41 = 3,457.95 : x
  2. Step 2: Convert to fraction form
    11,777.66/17,668.41 = 3,457.95/x
  3. Step 3: Cross multiply
    11,777.66x = 17,668.41 × 3,457.95
  4. Step 4: Simplify right side
    11,777.66x = 61,096,412.10
  5. Step 5: Solve for x
    x = 61,096,412.10/11,777.66
  6. Step 6: Final answer
    x = 5,187.48

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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.