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Finding the Fourth Proportional to 11,858.64, 16,345.91 and 8,029.07

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Solution

The fourth proportional to 11,858.64, 16,345.91 and 8,029.07 is: 11,067.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,858.64 : 16,345.91 = 8,029.07 : x
  2. Step 2: Convert to fraction form
    11,858.64/16,345.91 = 8,029.07/x
  3. Step 3: Cross multiply
    11,858.64x = 16,345.91 × 8,029.07
  4. Step 4: Simplify right side
    11,858.64x = 131,242,373.87
  5. Step 5: Solve for x
    x = 131,242,373.87/11,858.64
  6. Step 6: Final answer
    x = 11,067.24

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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.