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Finding the Fourth Proportional to 11,888.70, 17,835.87 and 4,097.28

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Solution

The fourth proportional to 11,888.70, 17,835.87 and 4,097.28 is: 6,146.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,888.70 : 17,835.87 = 4,097.28 : x
  2. Step 2: Convert to fraction form
    11,888.70/17,835.87 = 4,097.28/x
  3. Step 3: Cross multiply
    11,888.70x = 17,835.87 × 4,097.28
  4. Step 4: Simplify right side
    11,888.70x = 73,078,553.43
  5. Step 5: Solve for x
    x = 73,078,553.43/11,888.70
  6. Step 6: Final answer
    x = 6,146.89

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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.