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Finding the Fourth Proportional to 6,820.10, 10,219.21 and 6,164.00

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Solution

The fourth proportional to 6,820.10, 10,219.21 and 6,164.00 is: 9,236.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,820.10 : 10,219.21 = 6,164.00 : x
  2. Step 2: Convert to fraction form
    6,820.10/10,219.21 = 6,164.00/x
  3. Step 3: Cross multiply
    6,820.10x = 10,219.21 × 6,164.00
  4. Step 4: Simplify right side
    6,820.10x = 62,991,216.93
  5. Step 5: Solve for x
    x = 62,991,216.93/6,820.10
  6. Step 6: Final answer
    x = 9,236.12

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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.