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Finding the Fourth Proportional to 7,574.14, 11,361.23 and 2,309.18

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Solution

The fourth proportional to 7,574.14, 11,361.23 and 2,309.18 is: 3,463.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,574.14 : 11,361.23 = 2,309.18 : x
  2. Step 2: Convert to fraction form
    7,574.14/11,361.23 = 2,309.18/x
  3. Step 3: Cross multiply
    7,574.14x = 11,361.23 × 2,309.18
  4. Step 4: Simplify right side
    7,574.14x = 26,235,065.40
  5. Step 5: Solve for x
    x = 26,235,065.40/7,574.14
  6. Step 6: Final answer
    x = 3,463.77

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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.