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Finding the Fourth Proportional to 6,878.48, 10,310.40 and 5,230.94

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Solution

The fourth proportional to 6,878.48, 10,310.40 and 5,230.94 is: 7,840.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,878.48 : 10,310.40 = 5,230.94 : x
  2. Step 2: Convert to fraction form
    6,878.48/10,310.40 = 5,230.94/x
  3. Step 3: Cross multiply
    6,878.48x = 10,310.40 × 5,230.94
  4. Step 4: Simplify right side
    6,878.48x = 53,933,032.22
  5. Step 5: Solve for x
    x = 53,933,032.22/6,878.48
  6. Step 6: Final answer
    x = 7,840.84

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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.