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Finding the Fourth Proportional to 8,189.10, 11,284.92 and 7,635.06

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Solution

The fourth proportional to 8,189.10, 11,284.92 and 7,635.06 is: 10,521.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,189.10 : 11,284.92 = 7,635.06 : x
  2. Step 2: Convert to fraction form
    8,189.10/11,284.92 = 7,635.06/x
  3. Step 3: Cross multiply
    8,189.10x = 11,284.92 × 7,635.06
  4. Step 4: Simplify right side
    8,189.10x = 86,161,041.30
  5. Step 5: Solve for x
    x = 86,161,041.30/8,189.10
  6. Step 6: Final answer
    x = 10,521.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.