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Finding the Fourth Proportional to 11,657.78, 17,491.83 and 6,109.80

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Solution

The fourth proportional to 11,657.78, 17,491.83 and 6,109.80 is: 9,167.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,657.78 : 17,491.83 = 6,109.80 : x
  2. Step 2: Convert to fraction form
    11,657.78/17,491.83 = 6,109.80/x
  3. Step 3: Cross multiply
    11,657.78x = 17,491.83 × 6,109.80
  4. Step 4: Simplify right side
    11,657.78x = 106,871,582.93
  5. Step 5: Solve for x
    x = 106,871,582.93/11,657.78
  6. Step 6: Final answer
    x = 9,167.40

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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.