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Finding the Fourth Proportional to 11,835.42, 16,333.05 and 6,530.13

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Solution

The fourth proportional to 11,835.42, 16,333.05 and 6,530.13 is: 9,011.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,835.42 : 16,333.05 = 6,530.13 : x
  2. Step 2: Convert to fraction form
    11,835.42/16,333.05 = 6,530.13/x
  3. Step 3: Cross multiply
    11,835.42x = 16,333.05 × 6,530.13
  4. Step 4: Simplify right side
    11,835.42x = 106,656,939.80
  5. Step 5: Solve for x
    x = 106,656,939.80/11,835.42
  6. Step 6: Final answer
    x = 9,011.67

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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.