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Finding the Fourth Proportional to 11,591.96, 17,389.28 and 4,199.90

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Solution

The fourth proportional to 11,591.96, 17,389.28 and 4,199.90 is: 6,300.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,591.96 : 17,389.28 = 4,199.90 : x
  2. Step 2: Convert to fraction form
    11,591.96/17,389.28 = 4,199.90/x
  3. Step 3: Cross multiply
    11,591.96x = 17,389.28 × 4,199.90
  4. Step 4: Simplify right side
    11,591.96x = 73,033,237.07
  5. Step 5: Solve for x
    x = 73,033,237.07/11,591.96
  6. Step 6: Final answer
    x = 6,300.34

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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.