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Finding the Fourth Proportional to 7,589.95, 11,381.39 and 2,590.97

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Solution

The fourth proportional to 7,589.95, 11,381.39 and 2,590.97 is: 3,885.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,589.95 : 11,381.39 = 2,590.97 : x
  2. Step 2: Convert to fraction form
    7,589.95/11,381.39 = 2,590.97/x
  3. Step 3: Cross multiply
    7,589.95x = 11,381.39 × 2,590.97
  4. Step 4: Simplify right side
    7,589.95x = 29,488,779.90
  5. Step 5: Solve for x
    x = 29,488,779.90/7,589.95
  6. Step 6: Final answer
    x = 3,885.24

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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.