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Finding the Fourth Proportional to 7,369.84, 11,053.41 and 2,174.50

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Solution

The fourth proportional to 7,369.84, 11,053.41 and 2,174.50 is: 3,261.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,369.84 : 11,053.41 = 2,174.50 : x
  2. Step 2: Convert to fraction form
    7,369.84/11,053.41 = 2,174.50/x
  3. Step 3: Cross multiply
    7,369.84x = 11,053.41 × 2,174.50
  4. Step 4: Simplify right side
    7,369.84x = 24,035,640.05
  5. Step 5: Solve for x
    x = 24,035,640.05/7,369.84
  6. Step 6: Final answer
    x = 3,261.35

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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.