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Finding the Fourth Proportional to 10,995, 16,490.58 and 4,067.64

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Solution

The fourth proportional to 10,995, 16,490.58 and 4,067.64 is: 6,100.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,995 : 16,490.58 = 4,067.64 : x
  2. Step 2: Convert to fraction form
    10,995/16,490.58 = 4,067.64/x
  3. Step 3: Cross multiply
    10,995x = 16,490.58 × 4,067.64
  4. Step 4: Simplify right side
    10,995x = 67,077,742.83
  5. Step 5: Solve for x
    x = 67,077,742.83/10,995
  6. Step 6: Final answer
    x = 6,100.75

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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.