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Finding the Fourth Proportional to 11,705.49, 16,151.94 and 6,668.10

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Solution

The fourth proportional to 11,705.49, 16,151.94 and 6,668.10 is: 9,201.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,705.49 : 16,151.94 = 6,668.10 : x
  2. Step 2: Convert to fraction form
    11,705.49/16,151.94 = 6,668.10/x
  3. Step 3: Cross multiply
    11,705.49x = 16,151.94 × 6,668.10
  4. Step 4: Simplify right side
    11,705.49x = 107,702,751.11
  5. Step 5: Solve for x
    x = 107,702,751.11/11,705.49
  6. Step 6: Final answer
    x = 9,201.05

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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.