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Finding the Fourth Proportional to 11,400.78, 17,107.66 and 9,106.86

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Solution

The fourth proportional to 11,400.78, 17,107.66 and 9,106.86 is: 13,665.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,400.78 : 17,107.66 = 9,106.86 : x
  2. Step 2: Convert to fraction form
    11,400.78/17,107.66 = 9,106.86/x
  3. Step 3: Cross multiply
    11,400.78x = 17,107.66 × 9,106.86
  4. Step 4: Simplify right side
    11,400.78x = 155,797,064.55
  5. Step 5: Solve for x
    x = 155,797,064.55/11,400.78
  6. Step 6: Final answer
    x = 13,665.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.