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Finding the Fourth Proportional to 8,210.90, 12,331.20 and 7,190.30

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Solution

The fourth proportional to 8,210.90, 12,331.20 and 7,190.30 is: 10,798.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,210.90 : 12,331.20 = 7,190.30 : x
  2. Step 2: Convert to fraction form
    8,210.90/12,331.20 = 7,190.30/x
  3. Step 3: Cross multiply
    8,210.90x = 12,331.20 × 7,190.30
  4. Step 4: Simplify right side
    8,210.90x = 88,665,027.36
  5. Step 5: Solve for x
    x = 88,665,027.36/8,210.90
  6. Step 6: Final answer
    x = 10,798.45

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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.