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Finding the Fourth Proportional to 11,758.10, 16,226.18 and 6,452.94

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Solution

The fourth proportional to 11,758.10, 16,226.18 and 6,452.94 is: 8,905.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,758.10 : 16,226.18 = 6,452.94 : x
  2. Step 2: Convert to fraction form
    11,758.10/16,226.18 = 6,452.94/x
  3. Step 3: Cross multiply
    11,758.10x = 16,226.18 × 6,452.94
  4. Step 4: Simplify right side
    11,758.10x = 104,706,565.97
  5. Step 5: Solve for x
    x = 104,706,565.97/11,758.10
  6. Step 6: Final answer
    x = 8,905.06

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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.