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Finding the Fourth Proportional to 10,589.66, 15,879.34 and 3,192.74

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Solution

The fourth proportional to 10,589.66, 15,879.34 and 3,192.74 is: 4,787.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,589.66 : 15,879.34 = 3,192.74 : x
  2. Step 2: Convert to fraction form
    10,589.66/15,879.34 = 3,192.74/x
  3. Step 3: Cross multiply
    10,589.66x = 15,879.34 × 3,192.74
  4. Step 4: Simplify right side
    10,589.66x = 50,698,603.99
  5. Step 5: Solve for x
    x = 50,698,603.99/10,589.66
  6. Step 6: Final answer
    x = 4,787.56

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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.