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Finding the Fourth Proportional to 10,958.12, 16,435.56 and 4,031

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Solution

The fourth proportional to 10,958.12, 16,435.56 and 4,031 is: 6,045.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,958.12 : 16,435.56 = 4,031 : x
  2. Step 2: Convert to fraction form
    10,958.12/16,435.56 = 4,031/x
  3. Step 3: Cross multiply
    10,958.12x = 16,435.56 × 4,031
  4. Step 4: Simplify right side
    10,958.12x = 66,251,742.36
  5. Step 5: Solve for x
    x = 66,251,742.36/10,958.12
  6. Step 6: Final answer
    x = 6,045.90

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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.