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Finding the Fourth Proportional to 10,898.94, 16,348.32 and 3,107.78

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Solution

The fourth proportional to 10,898.94, 16,348.32 and 3,107.78 is: 4,661.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,898.94 : 16,348.32 = 3,107.78 : x
  2. Step 2: Convert to fraction form
    10,898.94/16,348.32 = 3,107.78/x
  3. Step 3: Cross multiply
    10,898.94x = 16,348.32 × 3,107.78
  4. Step 4: Simplify right side
    10,898.94x = 50,806,981.93
  5. Step 5: Solve for x
    x = 50,806,981.93/10,898.94
  6. Step 6: Final answer
    x = 4,661.64

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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.