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Finding the Fourth Proportional to 11,665.36, 16,098.32 and 6,360.16

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Solution

The fourth proportional to 11,665.36, 16,098.32 and 6,360.16 is: 8,777.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,665.36 : 16,098.32 = 6,360.16 : x
  2. Step 2: Convert to fraction form
    11,665.36/16,098.32 = 6,360.16/x
  3. Step 3: Cross multiply
    11,665.36x = 16,098.32 × 6,360.16
  4. Step 4: Simplify right side
    11,665.36x = 102,387,890.93
  5. Step 5: Solve for x
    x = 102,387,890.93/11,665.36
  6. Step 6: Final answer
    x = 8,777.09

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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.