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Finding the Fourth Proportional to 6,744.81, 10,111.06 and 2,359.88

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Solution

The fourth proportional to 6,744.81, 10,111.06 and 2,359.88 is: 3,537.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,744.81 : 10,111.06 = 2,359.88 : x
  2. Step 2: Convert to fraction form
    6,744.81/10,111.06 = 2,359.88/x
  3. Step 3: Cross multiply
    6,744.81x = 10,111.06 × 2,359.88
  4. Step 4: Simplify right side
    6,744.81x = 23,860,869.73
  5. Step 5: Solve for x
    x = 23,860,869.73/6,744.81
  6. Step 6: Final answer
    x = 3,537.66

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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.