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Finding the Fourth Proportional to 11,381.20, 17,075.86 and 5,837.16

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Solution

The fourth proportional to 11,381.20, 17,075.86 and 5,837.16 is: 8,757.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,381.20 : 17,075.86 = 5,837.16 : x
  2. Step 2: Convert to fraction form
    11,381.20/17,075.86 = 5,837.16/x
  3. Step 3: Cross multiply
    11,381.20x = 17,075.86 × 5,837.16
  4. Step 4: Simplify right side
    11,381.20x = 99,674,526.96
  5. Step 5: Solve for x
    x = 99,674,526.96/11,381.20
  6. Step 6: Final answer
    x = 8,757.82

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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.