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Finding the Fourth Proportional to 11,603.86, 17,411.79 and 5,760.34

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Solution

The fourth proportional to 11,603.86, 17,411.79 and 5,760.34 is: 8,643.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,603.86 : 17,411.79 = 5,760.34 : x
  2. Step 2: Convert to fraction form
    11,603.86/17,411.79 = 5,760.34/x
  3. Step 3: Cross multiply
    11,603.86x = 17,411.79 × 5,760.34
  4. Step 4: Simplify right side
    11,603.86x = 100,297,830.41
  5. Step 5: Solve for x
    x = 100,297,830.41/11,603.86
  6. Step 6: Final answer
    x = 8,643.49

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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.