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Finding the Fourth Proportional to 7,461.81, 11,182.62 and 2,842.29

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Solution

The fourth proportional to 7,461.81, 11,182.62 and 2,842.29 is: 4,259.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,461.81 : 11,182.62 = 2,842.29 : x
  2. Step 2: Convert to fraction form
    7,461.81/11,182.62 = 2,842.29/x
  3. Step 3: Cross multiply
    7,461.81x = 11,182.62 × 2,842.29
  4. Step 4: Simplify right side
    7,461.81x = 31,784,249.00
  5. Step 5: Solve for x
    x = 31,784,249.00/7,461.81
  6. Step 6: Final answer
    x = 4,259.59

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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.