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Finding the Fourth Proportional to 11,571.49, 17,358.05 and 5,726.53

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Solution

The fourth proportional to 11,571.49, 17,358.05 and 5,726.53 is: 8,590.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,571.49 : 17,358.05 = 5,726.53 : x
  2. Step 2: Convert to fraction form
    11,571.49/17,358.05 = 5,726.53/x
  3. Step 3: Cross multiply
    11,571.49x = 17,358.05 × 5,726.53
  4. Step 4: Simplify right side
    11,571.49x = 99,401,397.87
  5. Step 5: Solve for x
    x = 99,401,397.87/11,571.49
  6. Step 6: Final answer
    x = 8,590.20

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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.