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Finding the Fourth Proportional to 11,829.70, 16,325.47 and 6,524.85

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Solution

The fourth proportional to 11,829.70, 16,325.47 and 6,524.85 is: 9,004.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,829.70 : 16,325.47 = 6,524.85 : x
  2. Step 2: Convert to fraction form
    11,829.70/16,325.47 = 6,524.85/x
  3. Step 3: Cross multiply
    11,829.70x = 16,325.47 × 6,524.85
  4. Step 4: Simplify right side
    11,829.70x = 106,521,242.93
  5. Step 5: Solve for x
    x = 106,521,242.93/11,829.70
  6. Step 6: Final answer
    x = 9,004.56

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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.