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Finding the Fourth Proportional to 11,701.80, 16,151.67 and 6,668.66

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Solution

The fourth proportional to 11,701.80, 16,151.67 and 6,668.66 is: 9,204.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,701.80 : 16,151.67 = 6,668.66 : x
  2. Step 2: Convert to fraction form
    11,701.80/16,151.67 = 6,668.66/x
  3. Step 3: Cross multiply
    11,701.80x = 16,151.67 × 6,668.66
  4. Step 4: Simplify right side
    11,701.80x = 107,710,036.04
  5. Step 5: Solve for x
    x = 107,710,036.04/11,701.80
  6. Step 6: Final answer
    x = 9,204.57

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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.