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Finding the Fourth Proportional to 6,810.78, 10,216.53 and 2,131.14

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Solution

The fourth proportional to 6,810.78, 10,216.53 and 2,131.14 is: 3,196.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,810.78 : 10,216.53 = 2,131.14 : x
  2. Step 2: Convert to fraction form
    6,810.78/10,216.53 = 2,131.14/x
  3. Step 3: Cross multiply
    6,810.78x = 10,216.53 × 2,131.14
  4. Step 4: Simplify right side
    6,810.78x = 21,772,855.74
  5. Step 5: Solve for x
    x = 21,772,855.74/6,810.78
  6. Step 6: Final answer
    x = 3,196.82

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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.