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Finding the Fourth Proportional to 6,858.29, 10,292.65 and 4,517.51

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Solution

The fourth proportional to 6,858.29, 10,292.65 and 4,517.51 is: 6,779.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,858.29 : 10,292.65 = 4,517.51 : x
  2. Step 2: Convert to fraction form
    6,858.29/10,292.65 = 4,517.51/x
  3. Step 3: Cross multiply
    6,858.29x = 10,292.65 × 4,517.51
  4. Step 4: Simplify right side
    6,858.29x = 46,497,086.54
  5. Step 5: Solve for x
    x = 46,497,086.54/6,858.29
  6. Step 6: Final answer
    x = 6,779.69

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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.