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Finding the Fourth Proportional to 7,787.00, 10,745.66 and 4,249.53

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Solution

The fourth proportional to 7,787.00, 10,745.66 and 4,249.53 is: 5,864.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,787.00 : 10,745.66 = 4,249.53 : x
  2. Step 2: Convert to fraction form
    7,787.00/10,745.66 = 4,249.53/x
  3. Step 3: Cross multiply
    7,787.00x = 10,745.66 × 4,249.53
  4. Step 4: Simplify right side
    7,787.00x = 45,664,015.16
  5. Step 5: Solve for x
    x = 45,664,015.16/7,787.00
  6. Step 6: Final answer
    x = 5,864.13

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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.