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Finding the Fourth Proportional to 11,850.06, 17,778 and 3,530.04

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Solution

The fourth proportional to 11,850.06, 17,778 and 3,530.04 is: 5,295.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,850.06 : 17,778 = 3,530.04 : x
  2. Step 2: Convert to fraction form
    11,850.06/17,778 = 3,530.04/x
  3. Step 3: Cross multiply
    11,850.06x = 17,778 × 3,530.04
  4. Step 4: Simplify right side
    11,850.06x = 62,757,051.12
  5. Step 5: Solve for x
    x = 62,757,051.12/11,850.06
  6. Step 6: Final answer
    x = 5,295.93

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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.