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Finding the Fourth Proportional to 11,750.76, 17,622.54 and 3,957.84

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Solution

The fourth proportional to 11,750.76, 17,622.54 and 3,957.84 is: 5,935.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,750.76 : 17,622.54 = 3,957.84 : x
  2. Step 2: Convert to fraction form
    11,750.76/17,622.54 = 3,957.84/x
  3. Step 3: Cross multiply
    11,750.76x = 17,622.54 × 3,957.84
  4. Step 4: Simplify right side
    11,750.76x = 69,747,193.71
  5. Step 5: Solve for x
    x = 69,747,193.71/11,750.76
  6. Step 6: Final answer
    x = 5,935.55

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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.