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Finding the Fourth Proportional to 11,750.30, 16,209.82 and 7,033.67

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Solution

The fourth proportional to 11,750.30, 16,209.82 and 7,033.67 is: 9,703.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,750.30 : 16,209.82 = 7,033.67 : x
  2. Step 2: Convert to fraction form
    11,750.30/16,209.82 = 7,033.67/x
  3. Step 3: Cross multiply
    11,750.30x = 16,209.82 × 7,033.67
  4. Step 4: Simplify right side
    11,750.30x = 114,014,524.64
  5. Step 5: Solve for x
    x = 114,014,524.64/11,750.30
  6. Step 6: Final answer
    x = 9,703.12

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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.