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Finding the Fourth Proportional to 6,946.56, 10,442.43 and 5,574.92

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Solution

The fourth proportional to 6,946.56, 10,442.43 and 5,574.92 is: 8,380.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,946.56 : 10,442.43 = 5,574.92 : x
  2. Step 2: Convert to fraction form
    6,946.56/10,442.43 = 5,574.92/x
  3. Step 3: Cross multiply
    6,946.56x = 10,442.43 × 5,574.92
  4. Step 4: Simplify right side
    6,946.56x = 58,215,659.64
  5. Step 5: Solve for x
    x = 58,215,659.64/6,946.56
  6. Step 6: Final answer
    x = 8,380.50

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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.