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Finding the Fourth Proportional to 11,814.78, 16,304.14 and 6,509.49

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Solution

The fourth proportional to 11,814.78, 16,304.14 and 6,509.49 is: 8,982.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,814.78 : 16,304.14 = 6,509.49 : x
  2. Step 2: Convert to fraction form
    11,814.78/16,304.14 = 6,509.49/x
  3. Step 3: Cross multiply
    11,814.78x = 16,304.14 × 6,509.49
  4. Step 4: Simplify right side
    11,814.78x = 106,131,636.29
  5. Step 5: Solve for x
    x = 106,131,636.29/11,814.78
  6. Step 6: Final answer
    x = 8,982.95

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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.