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Finding the Fourth Proportional to 8,144.99, 11,240.37 and 4,787.76

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Solution

The fourth proportional to 8,144.99, 11,240.37 and 4,787.76 is: 6,607.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,144.99 : 11,240.37 = 4,787.76 : x
  2. Step 2: Convert to fraction form
    8,144.99/11,240.37 = 4,787.76/x
  3. Step 3: Cross multiply
    8,144.99x = 11,240.37 × 4,787.76
  4. Step 4: Simplify right side
    8,144.99x = 53,816,193.87
  5. Step 5: Solve for x
    x = 53,816,193.87/8,144.99
  6. Step 6: Final answer
    x = 6,607.28

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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.