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Finding the Fourth Proportional to 11,072.30, 16,597.65 and 9,905.90

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Solution

The fourth proportional to 11,072.30, 16,597.65 and 9,905.90 is: 14,849.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,072.30 : 16,597.65 = 9,905.90 : x
  2. Step 2: Convert to fraction form
    11,072.30/16,597.65 = 9,905.90/x
  3. Step 3: Cross multiply
    11,072.30x = 16,597.65 × 9,905.90
  4. Step 4: Simplify right side
    11,072.30x = 164,414,661.14
  5. Step 5: Solve for x
    x = 164,414,661.14/11,072.30
  6. Step 6: Final answer
    x = 14,849.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.