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Finding the Fourth Proportional to 11,909.16, 17,864.60 and 3,144

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Solution

The fourth proportional to 11,909.16, 17,864.60 and 3,144 is: 4,716.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,909.16 : 17,864.60 = 3,144 : x
  2. Step 2: Convert to fraction form
    11,909.16/17,864.60 = 3,144/x
  3. Step 3: Cross multiply
    11,909.16x = 17,864.60 × 3,144
  4. Step 4: Simplify right side
    11,909.16x = 56,166,302.40
  5. Step 5: Solve for x
    x = 56,166,302.40/11,909.16
  6. Step 6: Final answer
    x = 4,716.23

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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.