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Finding the Fourth Proportional to 11,574.39, 17,347.65 and 5,325.78

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Solution

The fourth proportional to 11,574.39, 17,347.65 and 5,325.78 is: 7,982.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,574.39 : 17,347.65 = 5,325.78 : x
  2. Step 2: Convert to fraction form
    11,574.39/17,347.65 = 5,325.78/x
  3. Step 3: Cross multiply
    11,574.39x = 17,347.65 × 5,325.78
  4. Step 4: Simplify right side
    11,574.39x = 92,389,767.42
  5. Step 5: Solve for x
    x = 92,389,767.42/11,574.39
  6. Step 6: Final answer
    x = 7,982.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.