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Finding the Fourth Proportional to 6,976.62, 10,506.20 and 5,042.34

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Solution

The fourth proportional to 6,976.62, 10,506.20 and 5,042.34 is: 7,593.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,976.62 : 10,506.20 = 5,042.34 : x
  2. Step 2: Convert to fraction form
    6,976.62/10,506.20 = 5,042.34/x
  3. Step 3: Cross multiply
    6,976.62x = 10,506.20 × 5,042.34
  4. Step 4: Simplify right side
    6,976.62x = 52,975,807.30
  5. Step 5: Solve for x
    x = 52,975,807.30/6,976.62
  6. Step 6: Final answer
    x = 7,593.33

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.