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Finding the Fourth Proportional to 11,953.17, 17,926.11 and 5,709.89

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Solution

The fourth proportional to 11,953.17, 17,926.11 and 5,709.89 is: 8,563.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,953.17 : 17,926.11 = 5,709.89 : x
  2. Step 2: Convert to fraction form
    11,953.17/17,926.11 = 5,709.89/x
  3. Step 3: Cross multiply
    11,953.17x = 17,926.11 × 5,709.89
  4. Step 4: Simplify right side
    11,953.17x = 102,356,161.04
  5. Step 5: Solve for x
    x = 102,356,161.04/11,953.17
  6. Step 6: Final answer
    x = 8,563.10

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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.