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Finding the Fourth Proportional to 11,711.48, 17,569.79 and 3,391.84

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Solution

The fourth proportional to 11,711.48, 17,569.79 and 3,391.84 is: 5,088.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,711.48 : 17,569.79 = 3,391.84 : x
  2. Step 2: Convert to fraction form
    11,711.48/17,569.79 = 3,391.84/x
  3. Step 3: Cross multiply
    11,711.48x = 17,569.79 × 3,391.84
  4. Step 4: Simplify right side
    11,711.48x = 59,593,811.71
  5. Step 5: Solve for x
    x = 59,593,811.71/11,711.48
  6. Step 6: Final answer
    x = 5,088.50

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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.