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Finding the Fourth Proportional to 11,843.07, 16,346.86 and 7,002.27

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Solution

The fourth proportional to 11,843.07, 16,346.86 and 7,002.27 is: 9,665.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,843.07 : 16,346.86 = 7,002.27 : x
  2. Step 2: Convert to fraction form
    11,843.07/16,346.86 = 7,002.27/x
  3. Step 3: Cross multiply
    11,843.07x = 16,346.86 × 7,002.27
  4. Step 4: Simplify right side
    11,843.07x = 114,465,109.87
  5. Step 5: Solve for x
    x = 114,465,109.87/11,843.07
  6. Step 6: Final answer
    x = 9,665.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.