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Finding the Fourth Proportional to 11,534.59, 17,295.73 and 5,974.14

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Solution

The fourth proportional to 11,534.59, 17,295.73 and 5,974.14 is: 8,958.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,534.59 : 17,295.73 = 5,974.14 : x
  2. Step 2: Convert to fraction form
    11,534.59/17,295.73 = 5,974.14/x
  3. Step 3: Cross multiply
    11,534.59x = 17,295.73 × 5,974.14
  4. Step 4: Simplify right side
    11,534.59x = 103,327,130.50
  5. Step 5: Solve for x
    x = 103,327,130.50/11,534.59
  6. Step 6: Final answer
    x = 8,958.02

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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.