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Finding the Fourth Proportional to 11,433.43, 15,779.26 and 7,187.69

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Solution

The fourth proportional to 11,433.43, 15,779.26 and 7,187.69 is: 9,919.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,433.43 : 15,779.26 = 7,187.69 : x
  2. Step 2: Convert to fraction form
    11,433.43/15,779.26 = 7,187.69/x
  3. Step 3: Cross multiply
    11,433.43x = 15,779.26 × 7,187.69
  4. Step 4: Simplify right side
    11,433.43x = 113,416,429.31
  5. Step 5: Solve for x
    x = 113,416,429.31/11,433.43
  6. Step 6: Final answer
    x = 9,919.72

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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.