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Finding the Fourth Proportional to 11,767.62, 16,239.58 and 6,462.46

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Solution

The fourth proportional to 11,767.62, 16,239.58 and 6,462.46 is: 8,918.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,767.62 : 16,239.58 = 6,462.46 : x
  2. Step 2: Convert to fraction form
    11,767.62/16,239.58 = 6,462.46/x
  3. Step 3: Cross multiply
    11,767.62x = 16,239.58 × 6,462.46
  4. Step 4: Simplify right side
    11,767.62x = 104,947,636.17
  5. Step 5: Solve for x
    x = 104,947,636.17/11,767.62
  6. Step 6: Final answer
    x = 8,918.34

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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.