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Finding the Fourth Proportional to 11,589.36, 17,389.89 and 4,574.40

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Solution

The fourth proportional to 11,589.36, 17,389.89 and 4,574.40 is: 6,863.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,589.36 : 17,389.89 = 4,574.40 : x
  2. Step 2: Convert to fraction form
    11,589.36/17,389.89 = 4,574.40/x
  3. Step 3: Cross multiply
    11,589.36x = 17,389.89 × 4,574.40
  4. Step 4: Simplify right side
    11,589.36x = 79,548,312.82
  5. Step 5: Solve for x
    x = 79,548,312.82/11,589.36
  6. Step 6: Final answer
    x = 6,863.91

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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.