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Finding the Fourth Proportional to 11,566.72, 15,961.73 and 6,462.10

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Solution

The fourth proportional to 11,566.72, 15,961.73 and 6,462.10 is: 8,917.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,566.72 : 15,961.73 = 6,462.10 : x
  2. Step 2: Convert to fraction form
    11,566.72/15,961.73 = 6,462.10/x
  3. Step 3: Cross multiply
    11,566.72x = 15,961.73 × 6,462.10
  4. Step 4: Simplify right side
    11,566.72x = 103,146,295.43
  5. Step 5: Solve for x
    x = 103,146,295.43/11,566.72
  6. Step 6: Final answer
    x = 8,917.51

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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.