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Finding the Fourth Proportional to 11,158.32, 16,737.48 and 4,232.82

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Solution

The fourth proportional to 11,158.32, 16,737.48 and 4,232.82 is: 6,349.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,158.32 : 16,737.48 = 4,232.82 : x
  2. Step 2: Convert to fraction form
    11,158.32/16,737.48 = 4,232.82/x
  3. Step 3: Cross multiply
    11,158.32x = 16,737.48 × 4,232.82
  4. Step 4: Simplify right side
    11,158.32x = 70,846,740.09
  5. Step 5: Solve for x
    x = 70,846,740.09/11,158.32
  6. Step 6: Final answer
    x = 6,349.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.