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Finding the Fourth Proportional to 7,852.02, 11,776.18 and 3,694.90

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Solution

The fourth proportional to 7,852.02, 11,776.18 and 3,694.90 is: 5,541.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852.02 : 11,776.18 = 3,694.90 : x
  2. Step 2: Convert to fraction form
    7,852.02/11,776.18 = 3,694.90/x
  3. Step 3: Cross multiply
    7,852.02x = 11,776.18 × 3,694.90
  4. Step 4: Simplify right side
    7,852.02x = 43,511,807.48
  5. Step 5: Solve for x
    x = 43,511,807.48/7,852.02
  6. Step 6: Final answer
    x = 5,541.48

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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.