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Finding the Fourth Proportional to 11,787.57, 17,686.16 and 7,575.54

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Solution

The fourth proportional to 11,787.57, 17,686.16 and 7,575.54 is: 11,366.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,787.57 : 17,686.16 = 7,575.54 : x
  2. Step 2: Convert to fraction form
    11,787.57/17,686.16 = 7,575.54/x
  3. Step 3: Cross multiply
    11,787.57x = 17,686.16 × 7,575.54
  4. Step 4: Simplify right side
    11,787.57x = 133,982,174.65
  5. Step 5: Solve for x
    x = 133,982,174.65/11,787.57
  6. Step 6: Final answer
    x = 11,366.39

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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.