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Finding the Fourth Proportional to 7,574, 11,361.08 and 2,102

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Solution

The fourth proportional to 7,574, 11,361.08 and 2,102 is: 3,153.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,574 : 11,361.08 = 2,102 : x
  2. Step 2: Convert to fraction form
    7,574/11,361.08 = 2,102/x
  3. Step 3: Cross multiply
    7,574x = 11,361.08 × 2,102
  4. Step 4: Simplify right side
    7,574x = 23,880,990.16
  5. Step 5: Solve for x
    x = 23,880,990.16/7,574
  6. Step 6: Final answer
    x = 3,153.02

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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.