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Finding the Fourth Proportional to 10,589.24, 15,880.61 and 7,323.32

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Solution

The fourth proportional to 10,589.24, 15,880.61 and 7,323.32 is: 10,982.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,589.24 : 15,880.61 = 7,323.32 : x
  2. Step 2: Convert to fraction form
    10,589.24/15,880.61 = 7,323.32/x
  3. Step 3: Cross multiply
    10,589.24x = 15,880.61 × 7,323.32
  4. Step 4: Simplify right side
    10,589.24x = 116,298,788.83
  5. Step 5: Solve for x
    x = 116,298,788.83/10,589.24
  6. Step 6: Final answer
    x = 10,982.73

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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.