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Finding the Fourth Proportional to 12,107.68, 16,709.68 and 6,803.80

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Solution

The fourth proportional to 12,107.68, 16,709.68 and 6,803.80 is: 9,389.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,107.68 : 16,709.68 = 6,803.80 : x
  2. Step 2: Convert to fraction form
    12,107.68/16,709.68 = 6,803.80/x
  3. Step 3: Cross multiply
    12,107.68x = 16,709.68 × 6,803.80
  4. Step 4: Simplify right side
    12,107.68x = 113,689,320.78
  5. Step 5: Solve for x
    x = 113,689,320.78/12,107.68
  6. Step 6: Final answer
    x = 9,389.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.