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Finding the Fourth Proportional to 10,696.38, 16,043.52 and 3,298.84

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Solution

The fourth proportional to 10,696.38, 16,043.52 and 3,298.84 is: 4,947.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,696.38 : 16,043.52 = 3,298.84 : x
  2. Step 2: Convert to fraction form
    10,696.38/16,043.52 = 3,298.84/x
  3. Step 3: Cross multiply
    10,696.38x = 16,043.52 × 3,298.84
  4. Step 4: Simplify right side
    10,696.38x = 52,925,005.52
  5. Step 5: Solve for x
    x = 52,925,005.52/10,696.38
  6. Step 6: Final answer
    x = 4,947.94

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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.