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Finding the Fourth Proportional to 11,685.69, 16,126.14 and 7,207.65

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Solution

The fourth proportional to 11,685.69, 16,126.14 and 7,207.65 is: 9,946.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,685.69 : 16,126.14 = 7,207.65 : x
  2. Step 2: Convert to fraction form
    11,685.69/16,126.14 = 7,207.65/x
  3. Step 3: Cross multiply
    11,685.69x = 16,126.14 × 7,207.65
  4. Step 4: Simplify right side
    11,685.69x = 116,231,572.97
  5. Step 5: Solve for x
    x = 116,231,572.97/11,685.69
  6. Step 6: Final answer
    x = 9,946.49

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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.