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Finding the Fourth Proportional to 11,787.72, 16,266.96 and 6,751.77

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Solution

The fourth proportional to 11,787.72, 16,266.96 and 6,751.77 is: 9,317.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,787.72 : 16,266.96 = 6,751.77 : x
  2. Step 2: Convert to fraction form
    11,787.72/16,266.96 = 6,751.77/x
  3. Step 3: Cross multiply
    11,787.72x = 16,266.96 × 6,751.77
  4. Step 4: Simplify right side
    11,787.72x = 109,830,772.52
  5. Step 5: Solve for x
    x = 109,830,772.52/11,787.72
  6. Step 6: Final answer
    x = 9,317.39

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Why These Related Problems?

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