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Finding the Fourth Proportional to 10,724.60, 16,069.11 and 7,589.06

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Solution

The fourth proportional to 10,724.60, 16,069.11 and 7,589.06 is: 11,371.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,724.60 : 16,069.11 = 7,589.06 : x
  2. Step 2: Convert to fraction form
    10,724.60/16,069.11 = 7,589.06/x
  3. Step 3: Cross multiply
    10,724.60x = 16,069.11 × 7,589.06
  4. Step 4: Simplify right side
    10,724.60x = 121,949,439.94
  5. Step 5: Solve for x
    x = 121,949,439.94/10,724.60
  6. Step 6: Final answer
    x = 11,371.00

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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.