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Finding the Fourth Proportional to 7,946.49, 10,961.51 and 4,957.14

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Solution

The fourth proportional to 7,946.49, 10,961.51 and 4,957.14 is: 6,837.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,946.49 : 10,961.51 = 4,957.14 : x
  2. Step 2: Convert to fraction form
    7,946.49/10,961.51 = 4,957.14/x
  3. Step 3: Cross multiply
    7,946.49x = 10,961.51 × 4,957.14
  4. Step 4: Simplify right side
    7,946.49x = 54,337,739.68
  5. Step 5: Solve for x
    x = 54,337,739.68/7,946.49
  6. Step 6: Final answer
    x = 6,837.95

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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.