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Finding the Fourth Proportional to 8,446.56, 11,658.72 and 4,911.36

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Solution

The fourth proportional to 8,446.56, 11,658.72 and 4,911.36 is: 6,779.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,446.56 : 11,658.72 = 4,911.36 : x
  2. Step 2: Convert to fraction form
    8,446.56/11,658.72 = 4,911.36/x
  3. Step 3: Cross multiply
    8,446.56x = 11,658.72 × 4,911.36
  4. Step 4: Simplify right side
    8,446.56x = 57,260,171.06
  5. Step 5: Solve for x
    x = 57,260,171.06/8,446.56
  6. Step 6: Final answer
    x = 6,779.11

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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.