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Finding the Fourth Proportional to 11,814.76, 16,304.18 and 6,509.56

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Solution

The fourth proportional to 11,814.76, 16,304.18 and 6,509.56 is: 8,983.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,814.76 : 16,304.18 = 6,509.56 : x
  2. Step 2: Convert to fraction form
    11,814.76/16,304.18 = 6,509.56/x
  3. Step 3: Cross multiply
    11,814.76x = 16,304.18 × 6,509.56
  4. Step 4: Simplify right side
    11,814.76x = 106,133,037.96
  5. Step 5: Solve for x
    x = 106,133,037.96/11,814.76
  6. Step 6: Final answer
    x = 8,983.09

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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.