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Finding the Fourth Proportional to 11,787.66, 17,666.91 and 5,945.94

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Solution

The fourth proportional to 11,787.66, 17,666.91 and 5,945.94 is: 8,911.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,787.66 : 17,666.91 = 5,945.94 : x
  2. Step 2: Convert to fraction form
    11,787.66/17,666.91 = 5,945.94/x
  3. Step 3: Cross multiply
    11,787.66x = 17,666.91 × 5,945.94
  4. Step 4: Simplify right side
    11,787.66x = 105,046,386.85
  5. Step 5: Solve for x
    x = 105,046,386.85/11,787.66
  6. Step 6: Final answer
    x = 8,911.56

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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.