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Finding the Fourth Proportional to 11,665.08, 16,097.52 and 6,360

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Solution

The fourth proportional to 11,665.08, 16,097.52 and 6,360 is: 8,776.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,665.08 : 16,097.52 = 6,360 : x
  2. Step 2: Convert to fraction form
    11,665.08/16,097.52 = 6,360/x
  3. Step 3: Cross multiply
    11,665.08x = 16,097.52 × 6,360
  4. Step 4: Simplify right side
    11,665.08x = 102,380,227.20
  5. Step 5: Solve for x
    x = 102,380,227.20/11,665.08
  6. Step 6: Final answer
    x = 8,776.64

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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.