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Finding the Fourth Proportional to 7,574.80, 11,348.12 and 4,114.96

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Solution

The fourth proportional to 7,574.80, 11,348.12 and 4,114.96 is: 6,164.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,574.80 : 11,348.12 = 4,114.96 : x
  2. Step 2: Convert to fraction form
    7,574.80/11,348.12 = 4,114.96/x
  3. Step 3: Cross multiply
    7,574.80x = 11,348.12 × 4,114.96
  4. Step 4: Simplify right side
    7,574.80x = 46,697,059.88
  5. Step 5: Solve for x
    x = 46,697,059.88/7,574.80
  6. Step 6: Final answer
    x = 6,164.79

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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.