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Finding the Fourth Proportional to 10,993.32, 16,493.63 and 7,310.05

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Solution

The fourth proportional to 10,993.32, 16,493.63 and 7,310.05 is: 10,967.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,993.32 : 16,493.63 = 7,310.05 : x
  2. Step 2: Convert to fraction form
    10,993.32/16,493.63 = 7,310.05/x
  3. Step 3: Cross multiply
    10,993.32x = 16,493.63 × 7,310.05
  4. Step 4: Simplify right side
    10,993.32x = 120,569,182.20
  5. Step 5: Solve for x
    x = 120,569,182.20/10,993.32
  6. Step 6: Final answer
    x = 10,967.50

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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.