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Finding the Fourth Proportional to 7,116.64, 10,680.54 and 4,940.68

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Solution

The fourth proportional to 7,116.64, 10,680.54 and 4,940.68 is: 7,414.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,116.64 : 10,680.54 = 4,940.68 : x
  2. Step 2: Convert to fraction form
    7,116.64/10,680.54 = 4,940.68/x
  3. Step 3: Cross multiply
    7,116.64x = 10,680.54 × 4,940.68
  4. Step 4: Simplify right side
    7,116.64x = 52,769,130.37
  5. Step 5: Solve for x
    x = 52,769,130.37/7,116.64
  6. Step 6: Final answer
    x = 7,414.89

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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.