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Finding the Fourth Proportional to 11,758.98, 17,632.86 and 6,830.04

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Solution

The fourth proportional to 11,758.98, 17,632.86 and 6,830.04 is: 10,241.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,758.98 : 17,632.86 = 6,830.04 : x
  2. Step 2: Convert to fraction form
    11,758.98/17,632.86 = 6,830.04/x
  3. Step 3: Cross multiply
    11,758.98x = 17,632.86 × 6,830.04
  4. Step 4: Simplify right side
    11,758.98x = 120,433,139.11
  5. Step 5: Solve for x
    x = 120,433,139.11/11,758.98
  6. Step 6: Final answer
    x = 10,241.80

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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.