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Finding the Fourth Proportional to 11,815.97, 16,305.45 and 6,509.93

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Solution

The fourth proportional to 11,815.97, 16,305.45 and 6,509.93 is: 8,983.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,815.97 : 16,305.45 = 6,509.93 : x
  2. Step 2: Convert to fraction form
    11,815.97/16,305.45 = 6,509.93/x
  3. Step 3: Cross multiply
    11,815.97x = 16,305.45 × 6,509.93
  4. Step 4: Simplify right side
    11,815.97x = 106,147,338.12
  5. Step 5: Solve for x
    x = 106,147,338.12/11,815.97
  6. Step 6: Final answer
    x = 8,983.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.