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Finding the Fourth Proportional to 7,589.61, 11,387.65 and 3,692.97

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Solution

The fourth proportional to 7,589.61, 11,387.65 and 3,692.97 is: 5,541.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,589.61 : 11,387.65 = 3,692.97 : x
  2. Step 2: Convert to fraction form
    7,589.61/11,387.65 = 3,692.97/x
  3. Step 3: Cross multiply
    7,589.61x = 11,387.65 × 3,692.97
  4. Step 4: Simplify right side
    7,589.61x = 42,054,249.82
  5. Step 5: Solve for x
    x = 42,054,249.82/7,589.61
  6. Step 6: Final answer
    x = 5,541.03

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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.