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Finding the Fourth Proportional to 7,743.40, 10,684.92 and 6,411.76

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Solution

The fourth proportional to 7,743.40, 10,684.92 and 6,411.76 is: 8,847.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,743.40 : 10,684.92 = 6,411.76 : x
  2. Step 2: Convert to fraction form
    7,743.40/10,684.92 = 6,411.76/x
  3. Step 3: Cross multiply
    7,743.40x = 10,684.92 × 6,411.76
  4. Step 4: Simplify right side
    7,743.40x = 68,509,142.66
  5. Step 5: Solve for x
    x = 68,509,142.66/7,743.40
  6. Step 6: Final answer
    x = 8,847.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.