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Finding the Fourth Proportional to 11,753.84, 17,632.40 and 3,434.46

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Solution

The fourth proportional to 11,753.84, 17,632.40 and 3,434.46 is: 5,152.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,753.84 : 17,632.40 = 3,434.46 : x
  2. Step 2: Convert to fraction form
    11,753.84/17,632.40 = 3,434.46/x
  3. Step 3: Cross multiply
    11,753.84x = 17,632.40 × 3,434.46
  4. Step 4: Simplify right side
    11,753.84x = 60,557,772.50
  5. Step 5: Solve for x
    x = 60,557,772.50/11,753.84
  6. Step 6: Final answer
    x = 5,152.17

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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.