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Finding the Fourth Proportional to 11,778.53, 17,668.08 and 3,457.67

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Solution

The fourth proportional to 11,778.53, 17,668.08 and 3,457.67 is: 5,186.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,778.53 : 17,668.08 = 3,457.67 : x
  2. Step 2: Convert to fraction form
    11,778.53/17,668.08 = 3,457.67/x
  3. Step 3: Cross multiply
    11,778.53x = 17,668.08 × 3,457.67
  4. Step 4: Simplify right side
    11,778.53x = 61,090,301.83
  5. Step 5: Solve for x
    x = 61,090,301.83/11,778.53
  6. Step 6: Final answer
    x = 5,186.58

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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.