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Finding the Fourth Proportional to 11,835.72, 16,334.06 and 6,530.54

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Solution

The fourth proportional to 11,835.72, 16,334.06 and 6,530.54 is: 9,012.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,835.72 : 16,334.06 = 6,530.54 : x
  2. Step 2: Convert to fraction form
    11,835.72/16,334.06 = 6,530.54/x
  3. Step 3: Cross multiply
    11,835.72x = 16,334.06 × 6,530.54
  4. Step 4: Simplify right side
    11,835.72x = 106,670,117.87
  5. Step 5: Solve for x
    x = 106,670,117.87/11,835.72
  6. Step 6: Final answer
    x = 9,012.56

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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.