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Finding the Fourth Proportional to 11,835.79, 16,333.34 and 6,530.56

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Solution

The fourth proportional to 11,835.79, 16,333.34 and 6,530.56 is: 9,012.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,835.79 : 16,333.34 = 6,530.56 : x
  2. Step 2: Convert to fraction form
    11,835.79/16,333.34 = 6,530.56/x
  3. Step 3: Cross multiply
    11,835.79x = 16,333.34 × 6,530.56
  4. Step 4: Simplify right side
    11,835.79x = 106,665,783.38
  5. Step 5: Solve for x
    x = 106,665,783.38/11,835.79
  6. Step 6: Final answer
    x = 9,012.14

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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.