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Finding the Fourth Proportional to 11,814.80, 16,305.14 and 6,509.61

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Solution

The fourth proportional to 11,814.80, 16,305.14 and 6,509.61 is: 8,983.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,814.80 : 16,305.14 = 6,509.61 : x
  2. Step 2: Convert to fraction form
    11,814.80/16,305.14 = 6,509.61/x
  3. Step 3: Cross multiply
    11,814.80x = 16,305.14 × 6,509.61
  4. Step 4: Simplify right side
    11,814.80x = 106,140,118.67
  5. Step 5: Solve for x
    x = 106,140,118.67/11,814.80
  6. Step 6: Final answer
    x = 8,983.66

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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.