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Finding the Fourth Proportional to 11,826, 16,319.70 and 6,520.68

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Solution

The fourth proportional to 11,826, 16,319.70 and 6,520.68 is: 8,998.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,826 : 16,319.70 = 6,520.68 : x
  2. Step 2: Convert to fraction form
    11,826/16,319.70 = 6,520.68/x
  3. Step 3: Cross multiply
    11,826x = 16,319.70 × 6,520.68
  4. Step 4: Simplify right side
    11,826x = 106,415,541.40
  5. Step 5: Solve for x
    x = 106,415,541.40/11,826
  6. Step 6: Final answer
    x = 8,998.44

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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.