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Finding the Fourth Proportional to 11,606, 17,394.40 and 8,325.52

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Solution

The fourth proportional to 11,606, 17,394.40 and 8,325.52 is: 12,477.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,606 : 17,394.40 = 8,325.52 : x
  2. Step 2: Convert to fraction form
    11,606/17,394.40 = 8,325.52/x
  3. Step 3: Cross multiply
    11,606x = 17,394.40 × 8,325.52
  4. Step 4: Simplify right side
    11,606x = 144,817,425.09
  5. Step 5: Solve for x
    x = 144,817,425.09/11,606
  6. Step 6: Final answer
    x = 12,477.81

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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.