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Finding the Fourth Proportional to 6,762.04, 10,141.49 and 1,832.06

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Solution

The fourth proportional to 6,762.04, 10,141.49 and 1,832.06 is: 2,747.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,762.04 : 10,141.49 = 1,832.06 : x
  2. Step 2: Convert to fraction form
    6,762.04/10,141.49 = 1,832.06/x
  3. Step 3: Cross multiply
    6,762.04x = 10,141.49 × 1,832.06
  4. Step 4: Simplify right side
    6,762.04x = 18,579,818.17
  5. Step 5: Solve for x
    x = 18,579,818.17/6,762.04
  6. Step 6: Final answer
    x = 2,747.66

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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.