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Finding the Fourth Proportional to 11,758.23, 16,225.52 and 6,452.19

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Solution

The fourth proportional to 11,758.23, 16,225.52 and 6,452.19 is: 8,903.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,758.23 : 16,225.52 = 6,452.19 : x
  2. Step 2: Convert to fraction form
    11,758.23/16,225.52 = 6,452.19/x
  3. Step 3: Cross multiply
    11,758.23x = 16,225.52 × 6,452.19
  4. Step 4: Simplify right side
    11,758.23x = 104,690,105.63
  5. Step 5: Solve for x
    x = 104,690,105.63/11,758.23
  6. Step 6: Final answer
    x = 8,903.56

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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.