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Finding the Fourth Proportional to 11,688.38, 17,532.57 and 3,480.38

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Solution

The fourth proportional to 11,688.38, 17,532.57 and 3,480.38 is: 5,220.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,688.38 : 17,532.57 = 3,480.38 : x
  2. Step 2: Convert to fraction form
    11,688.38/17,532.57 = 3,480.38/x
  3. Step 3: Cross multiply
    11,688.38x = 17,532.57 × 3,480.38
  4. Step 4: Simplify right side
    11,688.38x = 61,020,005.98
  5. Step 5: Solve for x
    x = 61,020,005.98/11,688.38
  6. Step 6: Final answer
    x = 5,220.57

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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.