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Finding the Fourth Proportional to 11,605.14, 17,394.01 and 5,017.41

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Solution

The fourth proportional to 11,605.14, 17,394.01 and 5,017.41 is: 7,520.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,605.14 : 17,394.01 = 5,017.41 : x
  2. Step 2: Convert to fraction form
    11,605.14/17,394.01 = 5,017.41/x
  3. Step 3: Cross multiply
    11,605.14x = 17,394.01 × 5,017.41
  4. Step 4: Simplify right side
    11,605.14x = 87,272,867.17
  5. Step 5: Solve for x
    x = 87,272,867.17/11,605.14
  6. Step 6: Final answer
    x = 7,520.19

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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.