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Finding the Fourth Proportional to 7,854.06, 11,776.32 and 3,694.98

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Solution

The fourth proportional to 7,854.06, 11,776.32 and 3,694.98 is: 5,540.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,854.06 : 11,776.32 = 3,694.98 : x
  2. Step 2: Convert to fraction form
    7,854.06/11,776.32 = 3,694.98/x
  3. Step 3: Cross multiply
    7,854.06x = 11,776.32 × 3,694.98
  4. Step 4: Simplify right side
    7,854.06x = 43,513,266.87
  5. Step 5: Solve for x
    x = 43,513,266.87/7,854.06
  6. Step 6: Final answer
    x = 5,540.23

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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.