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Finding the Fourth Proportional to 11,729.75, 17,598.95 and 6,182.87

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Solution

The fourth proportional to 11,729.75, 17,598.95 and 6,182.87 is: 9,276.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,729.75 : 17,598.95 = 6,182.87 : x
  2. Step 2: Convert to fraction form
    11,729.75/17,598.95 = 6,182.87/x
  3. Step 3: Cross multiply
    11,729.75x = 17,598.95 × 6,182.87
  4. Step 4: Simplify right side
    11,729.75x = 108,812,019.99
  5. Step 5: Solve for x
    x = 108,812,019.99/11,729.75
  6. Step 6: Final answer
    x = 9,276.58

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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.