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Finding the Fourth Proportional to 11,706.48, 17,560.53 and 3,914.28

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Solution

The fourth proportional to 11,706.48, 17,560.53 and 3,914.28 is: 5,871.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,706.48 : 17,560.53 = 3,914.28 : x
  2. Step 2: Convert to fraction form
    11,706.48/17,560.53 = 3,914.28/x
  3. Step 3: Cross multiply
    11,706.48x = 17,560.53 × 3,914.28
  4. Step 4: Simplify right side
    11,706.48x = 68,736,831.37
  5. Step 5: Solve for x
    x = 68,736,831.37/11,706.48
  6. Step 6: Final answer
    x = 5,871.69

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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.