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Finding the Fourth Proportional to 11,589.86, 17,390.64 and 4,574.90

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Solution

The fourth proportional to 11,589.86, 17,390.64 and 4,574.90 is: 6,864.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,589.86 : 17,390.64 = 4,574.90 : x
  2. Step 2: Convert to fraction form
    11,589.86/17,390.64 = 4,574.90/x
  3. Step 3: Cross multiply
    11,589.86x = 17,390.64 × 4,574.90
  4. Step 4: Simplify right side
    11,589.86x = 79,560,438.94
  5. Step 5: Solve for x
    x = 79,560,438.94/11,589.86
  6. Step 6: Final answer
    x = 6,864.66

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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.