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Finding the Fourth Proportional to 11,814.82, 16,304.66 and 6,509.60

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Solution

The fourth proportional to 11,814.82, 16,304.66 and 6,509.60 is: 8,983.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,814.82 : 16,304.66 = 6,509.60 : x
  2. Step 2: Convert to fraction form
    11,814.82/16,304.66 = 6,509.60/x
  3. Step 3: Cross multiply
    11,814.82x = 16,304.66 × 6,509.60
  4. Step 4: Simplify right side
    11,814.82x = 106,136,814.74
  5. Step 5: Solve for x
    x = 106,136,814.74/11,814.82
  6. Step 6: Final answer
    x = 8,983.36

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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.