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Finding the Fourth Proportional to 6,685.92, 10,026.84 and 2,302.35

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Solution

The fourth proportional to 6,685.92, 10,026.84 and 2,302.35 is: 3,452.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,685.92 : 10,026.84 = 2,302.35 : x
  2. Step 2: Convert to fraction form
    6,685.92/10,026.84 = 2,302.35/x
  3. Step 3: Cross multiply
    6,685.92x = 10,026.84 × 2,302.35
  4. Step 4: Simplify right side
    6,685.92x = 23,085,295.07
  5. Step 5: Solve for x
    x = 23,085,295.07/6,685.92
  6. Step 6: Final answer
    x = 3,452.82

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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.