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Finding the Fourth Proportional to 11,537.94, 15,922.68 and 7,061.62

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Solution

The fourth proportional to 11,537.94, 15,922.68 and 7,061.62 is: 9,745.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,537.94 : 15,922.68 = 7,061.62 : x
  2. Step 2: Convert to fraction form
    11,537.94/15,922.68 = 7,061.62/x
  3. Step 3: Cross multiply
    11,537.94x = 15,922.68 × 7,061.62
  4. Step 4: Simplify right side
    11,537.94x = 112,439,915.54
  5. Step 5: Solve for x
    x = 112,439,915.54/11,537.94
  6. Step 6: Final answer
    x = 9,745.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.