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Finding the Fourth Proportional to 7,114.80, 10,674.36 and 3,219.24

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Solution

The fourth proportional to 7,114.80, 10,674.36 and 3,219.24 is: 4,829.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,114.80 : 10,674.36 = 3,219.24 : x
  2. Step 2: Convert to fraction form
    7,114.80/10,674.36 = 3,219.24/x
  3. Step 3: Cross multiply
    7,114.80x = 10,674.36 × 3,219.24
  4. Step 4: Simplify right side
    7,114.80x = 34,363,326.69
  5. Step 5: Solve for x
    x = 34,363,326.69/7,114.80
  6. Step 6: Final answer
    x = 4,829.84

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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.