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Finding the Fourth Proportional to 7,589.40, 11,384.10 and 4,090.20

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Solution

The fourth proportional to 7,589.40, 11,384.10 and 4,090.20 is: 6,135.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,589.40 : 11,384.10 = 4,090.20 : x
  2. Step 2: Convert to fraction form
    7,589.40/11,384.10 = 4,090.20/x
  3. Step 3: Cross multiply
    7,589.40x = 11,384.10 × 4,090.20
  4. Step 4: Simplify right side
    7,589.40x = 46,563,245.82
  5. Step 5: Solve for x
    x = 46,563,245.82/7,589.40
  6. Step 6: Final answer
    x = 6,135.30

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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.