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Finding the Fourth Proportional to 7,005.81, 10,498.37 and 3,882.03

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Solution

The fourth proportional to 7,005.81, 10,498.37 and 3,882.03 is: 5,817.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,005.81 : 10,498.37 = 3,882.03 : x
  2. Step 2: Convert to fraction form
    7,005.81/10,498.37 = 3,882.03/x
  3. Step 3: Cross multiply
    7,005.81x = 10,498.37 × 3,882.03
  4. Step 4: Simplify right side
    7,005.81x = 40,754,967.88
  5. Step 5: Solve for x
    x = 40,754,967.88/7,005.81
  6. Step 6: Final answer
    x = 5,817.31

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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.