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Finding the Fourth Proportional to 6,810.40, 10,215.60 and 2,129.17

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Solution

The fourth proportional to 6,810.40, 10,215.60 and 2,129.17 is: 3,193.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,810.40 : 10,215.60 = 2,129.17 : x
  2. Step 2: Convert to fraction form
    6,810.40/10,215.60 = 2,129.17/x
  3. Step 3: Cross multiply
    6,810.40x = 10,215.60 × 2,129.17
  4. Step 4: Simplify right side
    6,810.40x = 21,750,749.05
  5. Step 5: Solve for x
    x = 21,750,749.05/6,810.40
  6. Step 6: Final answer
    x = 3,193.76

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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.