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Finding the Fourth Proportional to 7,574.50, 11,363.58 and 2,380.36

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Solution

The fourth proportional to 7,574.50, 11,363.58 and 2,380.36 is: 3,571.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,574.50 : 11,363.58 = 2,380.36 : x
  2. Step 2: Convert to fraction form
    7,574.50/11,363.58 = 2,380.36/x
  3. Step 3: Cross multiply
    7,574.50x = 11,363.58 × 2,380.36
  4. Step 4: Simplify right side
    7,574.50x = 27,049,411.29
  5. Step 5: Solve for x
    x = 27,049,411.29/7,574.50
  6. Step 6: Final answer
    x = 3,571.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.