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Finding the Fourth Proportional to 7,574.94, 11,357.55 and 5,228.37

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Solution

The fourth proportional to 7,574.94, 11,357.55 and 5,228.37 is: 7,839.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,574.94 : 11,357.55 = 5,228.37 : x
  2. Step 2: Convert to fraction form
    7,574.94/11,357.55 = 5,228.37/x
  3. Step 3: Cross multiply
    7,574.94x = 11,357.55 × 5,228.37
  4. Step 4: Simplify right side
    7,574.94x = 59,381,473.69
  5. Step 5: Solve for x
    x = 59,381,473.69/7,574.94
  6. Step 6: Final answer
    x = 7,839.20

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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.