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Finding the Fourth Proportional to 11,630.16, 16,062.75 and 7,668.81

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Solution

The fourth proportional to 11,630.16, 16,062.75 and 7,668.81 is: 10,591.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,630.16 : 16,062.75 = 7,668.81 : x
  2. Step 2: Convert to fraction form
    11,630.16/16,062.75 = 7,668.81/x
  3. Step 3: Cross multiply
    11,630.16x = 16,062.75 × 7,668.81
  4. Step 4: Simplify right side
    11,630.16x = 123,182,177.83
  5. Step 5: Solve for x
    x = 123,182,177.83/11,630.16
  6. Step 6: Final answer
    x = 10,591.62

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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.