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Finding the Fourth Proportional to 11,758.01, 16,226.28 and 6,452.78

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Solution

The fourth proportional to 11,758.01, 16,226.28 and 6,452.78 is: 8,904.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,758.01 : 16,226.28 = 6,452.78 : x
  2. Step 2: Convert to fraction form
    11,758.01/16,226.28 = 6,452.78/x
  3. Step 3: Cross multiply
    11,758.01x = 16,226.28 × 6,452.78
  4. Step 4: Simplify right side
    11,758.01x = 104,704,533.93
  5. Step 5: Solve for x
    x = 104,704,533.93/11,758.01
  6. Step 6: Final answer
    x = 8,904.96

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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.