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Finding the Fourth Proportional to 7,605.90, 11,412.12 and 4,091.78

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Solution

The fourth proportional to 7,605.90, 11,412.12 and 4,091.78 is: 6,139.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,605.90 : 11,412.12 = 4,091.78 : x
  2. Step 2: Convert to fraction form
    7,605.90/11,412.12 = 4,091.78/x
  3. Step 3: Cross multiply
    7,605.90x = 11,412.12 × 4,091.78
  4. Step 4: Simplify right side
    7,605.90x = 46,695,928.25
  5. Step 5: Solve for x
    x = 46,695,928.25/7,605.90
  6. Step 6: Final answer
    x = 6,139.43

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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.