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Finding the Fourth Proportional to 7,414.94, 10,178.11 and 6,556.84

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Solution

The fourth proportional to 7,414.94, 10,178.11 and 6,556.84 is: 9,000.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,414.94 : 10,178.11 = 6,556.84 : x
  2. Step 2: Convert to fraction form
    7,414.94/10,178.11 = 6,556.84/x
  3. Step 3: Cross multiply
    7,414.94x = 10,178.11 × 6,556.84
  4. Step 4: Simplify right side
    7,414.94x = 66,736,205.99
  5. Step 5: Solve for x
    x = 66,736,205.99/7,414.94
  6. Step 6: Final answer
    x = 9,000.24

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.