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Finding the Fourth Proportional to 11,440, 17,160.63 and 3,648.34

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Solution

The fourth proportional to 11,440, 17,160.63 and 3,648.34 is: 5,472.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,440 : 17,160.63 = 3,648.34 : x
  2. Step 2: Convert to fraction form
    11,440/17,160.63 = 3,648.34/x
  3. Step 3: Cross multiply
    11,440x = 17,160.63 × 3,648.34
  4. Step 4: Simplify right side
    11,440x = 62,607,812.85
  5. Step 5: Solve for x
    x = 62,607,812.85/11,440
  6. Step 6: Final answer
    x = 5,472.71

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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.