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Finding the Fourth Proportional to 10,894.37, 16,340.64 and 3,496.82

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Solution

The fourth proportional to 10,894.37, 16,340.64 and 3,496.82 is: 5,244.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,894.37 : 16,340.64 = 3,496.82 : x
  2. Step 2: Convert to fraction form
    10,894.37/16,340.64 = 3,496.82/x
  3. Step 3: Cross multiply
    10,894.37x = 16,340.64 × 3,496.82
  4. Step 4: Simplify right side
    10,894.37x = 57,140,276.76
  5. Step 5: Solve for x
    x = 57,140,276.76/10,894.37
  6. Step 6: Final answer
    x = 5,244.94

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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.