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Finding the Fourth Proportional to 11,539.84, 17,311.13 and 4,143.67

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Solution

The fourth proportional to 11,539.84, 17,311.13 and 4,143.67 is: 6,216.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,539.84 : 17,311.13 = 4,143.67 : x
  2. Step 2: Convert to fraction form
    11,539.84/17,311.13 = 4,143.67/x
  3. Step 3: Cross multiply
    11,539.84x = 17,311.13 × 4,143.67
  4. Step 4: Simplify right side
    11,539.84x = 71,731,610.05
  5. Step 5: Solve for x
    x = 71,731,610.05/11,539.84
  6. Step 6: Final answer
    x = 6,216.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.