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Finding the Fourth Proportional to 11,822.49, 17,737.79 and 4,036.77

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Solution

The fourth proportional to 11,822.49, 17,737.79 and 4,036.77 is: 6,056.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,822.49 : 17,737.79 = 4,036.77 : x
  2. Step 2: Convert to fraction form
    11,822.49/17,737.79 = 4,036.77/x
  3. Step 3: Cross multiply
    11,822.49x = 17,737.79 × 4,036.77
  4. Step 4: Simplify right side
    11,822.49x = 71,603,358.35
  5. Step 5: Solve for x
    x = 71,603,358.35/11,822.49
  6. Step 6: Final answer
    x = 6,056.54

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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.