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Finding the Fourth Proportional to 11,539.80, 17,311.86 and 3,748.68

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Solution

The fourth proportional to 11,539.80, 17,311.86 and 3,748.68 is: 5,623.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,539.80 : 17,311.86 = 3,748.68 : x
  2. Step 2: Convert to fraction form
    11,539.80/17,311.86 = 3,748.68/x
  3. Step 3: Cross multiply
    11,539.80x = 17,311.86 × 3,748.68
  4. Step 4: Simplify right side
    11,539.80x = 64,896,623.34
  5. Step 5: Solve for x
    x = 64,896,623.34/11,539.80
  6. Step 6: Final answer
    x = 5,623.72

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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.