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Finding the Fourth Proportional to 11,786.38, 17,656 and 7,103.90

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Solution

The fourth proportional to 11,786.38, 17,656 and 7,103.90 is: 10,641.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,786.38 : 17,656 = 7,103.90 : x
  2. Step 2: Convert to fraction form
    11,786.38/17,656 = 7,103.90/x
  3. Step 3: Cross multiply
    11,786.38x = 17,656 × 7,103.90
  4. Step 4: Simplify right side
    11,786.38x = 125,426,458.40
  5. Step 5: Solve for x
    x = 125,426,458.40/11,786.38
  6. Step 6: Final answer
    x = 10,641.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.