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Finding the Fourth Proportional to 11,660.71, 17,492.79 and 3,760.63

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Solution

The fourth proportional to 11,660.71, 17,492.79 and 3,760.63 is: 5,641.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,660.71 : 17,492.79 = 3,760.63 : x
  2. Step 2: Convert to fraction form
    11,660.71/17,492.79 = 3,760.63/x
  3. Step 3: Cross multiply
    11,660.71x = 17,492.79 × 3,760.63
  4. Step 4: Simplify right side
    11,660.71x = 65,783,881.23
  5. Step 5: Solve for x
    x = 65,783,881.23/11,660.71
  6. Step 6: Final answer
    x = 5,641.50

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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.