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Finding the Fourth Proportional to 11,957.34, 17,928.54 and 10,411.86

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Solution

The fourth proportional to 11,957.34, 17,928.54 and 10,411.86 is: 15,611.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,957.34 : 17,928.54 = 10,411.86 : x
  2. Step 2: Convert to fraction form
    11,957.34/17,928.54 = 10,411.86/x
  3. Step 3: Cross multiply
    11,957.34x = 17,928.54 × 10,411.86
  4. Step 4: Simplify right side
    11,957.34x = 186,669,448.48
  5. Step 5: Solve for x
    x = 186,669,448.48/11,957.34
  6. Step 6: Final answer
    x = 15,611.29

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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.