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Finding the Fourth Proportional to 11,589.17, 17,368.85 and 5,259.42

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Solution

The fourth proportional to 11,589.17, 17,368.85 and 5,259.42 is: 7,882.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,589.17 : 17,368.85 = 5,259.42 : x
  2. Step 2: Convert to fraction form
    11,589.17/17,368.85 = 5,259.42/x
  3. Step 3: Cross multiply
    11,589.17x = 17,368.85 × 5,259.42
  4. Step 4: Simplify right side
    11,589.17x = 91,350,050.77
  5. Step 5: Solve for x
    x = 91,350,050.77/11,589.17
  6. Step 6: Final answer
    x = 7,882.37

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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.