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Finding the Fourth Proportional to 7,810.02, 11,713.73 and 3,426.30

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Solution

The fourth proportional to 7,810.02, 11,713.73 and 3,426.30 is: 5,138.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,810.02 : 11,713.73 = 3,426.30 : x
  2. Step 2: Convert to fraction form
    7,810.02/11,713.73 = 3,426.30/x
  3. Step 3: Cross multiply
    7,810.02x = 11,713.73 × 3,426.30
  4. Step 4: Simplify right side
    7,810.02x = 40,134,735.97
  5. Step 5: Solve for x
    x = 40,134,735.97/7,810.02
  6. Step 6: Final answer
    x = 5,138.88

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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.