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Finding the Fourth Proportional to 11,668.23, 16,102.53 and 6,564.60

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Solution

The fourth proportional to 11,668.23, 16,102.53 and 6,564.60 is: 9,059.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,668.23 : 16,102.53 = 6,564.60 : x
  2. Step 2: Convert to fraction form
    11,668.23/16,102.53 = 6,564.60/x
  3. Step 3: Cross multiply
    11,668.23x = 16,102.53 × 6,564.60
  4. Step 4: Simplify right side
    11,668.23x = 105,706,668.44
  5. Step 5: Solve for x
    x = 105,706,668.44/11,668.23
  6. Step 6: Final answer
    x = 9,059.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.